Nguyễn Đình Linh : Toán Học

<div class="separator" style="clear: both; text-align: center;">
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPyUE6IJAu-GMEu9vRuELdZgIM66MSFcGlY4o0WBpdCqOmmMKxd5MgBTxXYUAqBoPaTt7dMtH8mjGn8s_EjLdqcDlkaEvXaeg-IHwDVaI_ZqqOfI4d-z2w8CG_egjfCWNsUCBND6QnM_IG/s1600/19.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="179" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhPyUE6IJAu-GMEu9vRuELdZgIM66MSFcGlY4o0WBpdCqOmmMKxd5MgBTxXYUAqBoPaTt7dMtH8mjGn8s_EjLdqcDlkaEvXaeg-IHwDVaI_ZqqOfI4d-z2w8CG_egjfCWNsUCBND6QnM_IG/s320/19.jpg" width="320" /></a></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<span style="font-size: 10pt;">TR</span><span style="position: relative; text-align: justify; top: 31pt;"></span><span style="font-size: 10pt;">TRƯỜNG
ĐH CÔNG NGHIỆP TPHCM</span></div>
<div class="MsoNormal">
<span style="font-size: 10.0pt;"> KHOA KHOA HỌC CƠ BẢN<o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<b>ĐỀ THI MÔN QUY HOẠCH TUYẾN TÍNH<o:p></o:p></b></div>
<div align="center" class="MsoNormal" style="text-align: center;">
<i><span style="font-size: 10.0pt;">(Lớp ĐH-15-3-2011 - </span></i><i><span style="font-family: VNI-Times; font-size: 10.0pt;">Thôøi </span></i><i><span style="font-size: 10.0pt;">gian 60 phút - Đề
1 -Không dùng tài liệu)<o:p></o:p></span></i></div>
<div class="MsoNormal" style="margin-left: -27.0pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt; text-align: justify;">
<b>Câu I: (2.5
điểm) </b>Cho bài tóan Quy họach tuyến
tính mà ta gọi là bài tóan (P)<o:p></o:p></div>
<div align="center" class="MsoNormal" style="margin-right: -.45pt; text-align: center;">
<span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image002.gif" v:shapes="_x0000_i1025" width="208" /></span><o:p></o:p></div>
<div align="center" class="MsoNormal" style="margin-right: -.45pt; text-align: center;">
<span style="mso-text-raise: -28.0pt; position: relative; top: 28.0pt;"><img height="83" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image004.gif" v:shapes="_x0000_i1026" width="141" /></span><o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: -.45pt; margin-top: 0in; mso-list: l2 level1 lfo1; tab-stops: list .5in; text-indent: -.25in;">
1)<span style="font-size: 7pt; font-stretch: normal;">      </span>Chứng
minh <span style="mso-text-raise: -5.0pt; position: relative; top: 5.0pt;"><img height="21" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image006.gif" v:shapes="_x0000_i1027" width="76" /></span> là phương án cực biên,
nhưng không phải là phương án tối ưu của bài tóan (P).<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: -9.0pt; margin-top: 0in; mso-list: l2 level1 lfo1; tab-stops: list .5in; text-indent: -.25in;">
2)<span style="font-size: 7pt; font-stretch: normal;">      </span>Hãy
xây dựng một phương án cực biên mới tốt hơn phương án <i>x</i> nói ở trên.<o:p></o:p></div>
<div class="MsoNormal" style="margin-right: -50.5pt;">
<br /></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: -27.0pt; margin-right: -.5in; margin-top: 0in; text-align: justify;">
<b>Câu II: (4.5 điểm)
</b>Một Xí nghiệp chăn nuôi cần mua một
lọai thức ăn tổng hợp T1, T2, T3 cho gia súc với tỷ lệ chất dinh dưỡng như sau:
1 kg T1 chứa 4 đơn vị dinh dưỡng D1, 2 đơn vị dinh dưỡng D2, và 1 đơn vị dinh
dưỡng D3; 1 kg T2 chứa 1 đơn vị dinh dưỡng D1, 7 đơn vị dinh dưỡng D2, và 3 đơn
vị dinh dưỡng D3; 1 kg T3 chứa 3 đơn vị dinh dưỡng D1, 1 đơn vị dinh dưỡng D2,
và 4 đơn vị dinh dưỡng D3. Mỗi bữa ăn, gia súc cần tối thiểu 20 đơn vị D1, 25
đơn vị D2 và 30 đơn vị D3.<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: -27.0pt; margin-right: -.5in; margin-top: 0in; text-align: justify; text-indent: 27.0pt;">
Biết rằng 1 kg T1 có giá là 10 ngàn đồng, 1
kg T2 có giá là 12 ngàn đồng, 1 kg T3 có giá là 14 ngàn đồng.<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: -27.0pt; margin-right: -.5in; margin-top: 0in; text-align: justify; text-indent: 27.0pt;">
Xí nghiệp muốn mua các loại thức ăn T1, T2,
T3 để bảo đảm tốt về chất dinh dưỡng cho một bữa ăn và tổng số tiền mua là nhỏ
nhất.<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: -.5in; margin-top: 0in; mso-list: l0 level1 lfo2; tab-stops: list .5in; text-align: justify; text-indent: -.25in;">
1)<span style="font-size: 7pt; font-stretch: normal;">      </span>Hãy lập bài toán quy hoạch tuyến tính, ta gọi
đây là bài toán (P).<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: -.5in; margin-top: 0in; mso-list: l0 level1 lfo2; tab-stops: list .5in; text-align: justify; text-indent: -.25in;">
2)<span style="font-size: 7pt; font-stretch: normal;">      </span>Viết bài toán đối ngẫu (Q) của bài toán (P).<o:p></o:p></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .5in; margin-right: -.5in; margin-top: 0in; mso-list: l0 level1 lfo2; tab-stops: list .5in; text-align: justify; text-indent: -.25in;">
3)<span style="font-size: 7pt; font-stretch: normal;">      </span>Giải bài toán (Q), từ đó suy ra phương án tối
ưu của bài toán (P).<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: -27.0pt; text-align: justify; text-indent: 27.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt; text-align: justify;">
<b>Câu III:
(3 điểm) </b>Cho bài toán vận tải (min hàm mục tiêu cước phí) cân bằng
thu phát như sau:<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: -27.0pt; text-align: justify;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 131.4pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 480;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-diagonal-down: .5pt solid windowtext; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
          j<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
i<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
25<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
35<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
120<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
50<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
110<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
9<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
5<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
7<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
80<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
2<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
8<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
10<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
40<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
5<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
7<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
9<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
4<o:p></o:p></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                                                                                     <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in; mso-list: l1 level1 lfo3; tab-stops: list .5in left 118.5pt; text-align: justify; text-indent: -.25in;">
1)<span style="font-size: 7pt; font-stretch: normal;">     
</span>Hãy xây dựng một phương án ban đầu bằng phương pháp
Fogel.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in; mso-list: l1 level1 lfo3; tab-stops: list .5in left 118.5pt; text-align: justify; text-indent: -.25in;">
2)<span style="font-size: 7pt; font-stretch: normal;">     
</span>Hỏi phương án vừa xây dựng ở câu 1) có phải là phương
án tối ưu? Nếu chưa tối ưu, hãy xây dựng một phương án mới tối hơn (chỉ cần một
phương án mới tốt hơn).<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
KHOA
KHCB                                                      TRƯỞNG
BỘ MÔN<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                                                <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<b>ĐÁP ÁN<o:p></o:p></b></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<b>Câu
I: (2.5 điểm)</b><span lang="PT-BR"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: -.45pt; margin-top: 0in;">
<span lang="PT-BR">1)  Phương án </span><span style="mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image008.gif" v:shapes="_x0000_i1028" width="76" /></span><span lang="PT-BR"> có hệ véctơ liên kết là A<sup>2</sup> ,A<sup>3</sup>.
<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: -.45pt; margin-top: 0in;">
<span lang="PT-BR">      Ta có </span><span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="48" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image010.gif" v:shapes="_x0000_i1029" width="188" /></span><span lang="PT-BR"> nên x là phương án cực biên.       <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR"> 
Lại có <b>c=(5, 7)</b> và <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="55" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image012.gif" v:shapes="_x0000_i1030" width="247" /></span><span lang="PT-BR">. <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="55" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image014.gif" v:shapes="_x0000_i1031" width="239" /></span>.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span style="mso-text-raise: -15.0pt; position: relative; top: 15.0pt;"><img height="55" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image016.gif" v:shapes="_x0000_i1032" width="239" /></span><span lang="PT-BR"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR">Từ đó </span><span style="mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image018.gif" v:shapes="_x0000_i1033" width="104" /></span><span lang="PT-BR">,  lần lượt thay j=1, 2 3 ta được: </span><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image020.gif" v:shapes="_x0000_i1034" width="79" /></span><span lang="PT-BR">          <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span style="mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image022.gif" v:shapes="_x0000_i1035" width="277" /></span><span lang="PT-BR">. Vì ước
lượng</span><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image024.gif" v:shapes="_x0000_i1036" width="44" /></span><span lang="PT-BR"> nên x là phương án không tối ưu.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR">2) Xây dựng phương án mới như sau:<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-bottom: .0001pt; margin-bottom: 0in; margin-left: .25in; margin-right: -.5in; margin-top: 0in;">
<span lang="PT-BR">Véctơ đưa vào thay thế là </span><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif" v:shapes="_x0000_i1037" width="23" /></span>, vì: <span style="mso-text-raise: -8.0pt; position: relative; top: 8.0pt;"><img height="29" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image028.gif" v:shapes="_x0000_i1038" width="147" /></span><span lang="PT-BR"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR">Véctơ thay ra là </span><span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image030.gif" v:shapes="_x0000_i1039" width="24" /></span>, vì <span style="mso-text-raise: -16.0pt; position: relative; top: 16.0pt;"><img height="51" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image032.gif" v:shapes="_x0000_i1040" width="313" /></span>.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Ta
có cơ sở mới là: <span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif" v:shapes="_x0000_i1041" width="23" /></span>, <span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image034.gif" v:shapes="_x0000_i1042" width="24" /></span>. Phương án cực biên có hệ véctơ liên kết <span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image026.gif" v:shapes="_x0000_i1043" width="23" /></span>, <span style="mso-text-raise: -2.0pt; position: relative; top: 2.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image034.gif" v:shapes="_x0000_i1044" width="24" /></span> là <span style="mso-text-raise: -14.0pt; position: relative; top: 14.0pt;"><img height="45" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image036.gif" v:shapes="_x0000_i1045" width="91" /></span>. Đây là phương án tốt hơn.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span style="mso-text-raise: -7.0pt; position: relative; top: 7.0pt;"><img height="27" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image038.gif" v:shapes="_x0000_i1046" width="144" /></span>><span style="mso-text-raise: -14.0pt; position: relative; top: 14.0pt;"><img height="45" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image040.gif" v:shapes="_x0000_i1047" width="204" /></span>.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<b><span lang="PT-BR">Câu II. <o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR">1)        Gọi </span><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image042.gif" v:shapes="_x0000_i1048" width="55" /></span> <span lang="PT-BR">(kg) là số lượng thức ăn T1;
T2; T3 cần mua. <o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR">Tổng số tiền mua là: </span><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image044.gif" v:shapes="_x0000_i1049" width="163" /></span>.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Số
đơn vị dinh dưỡng D1 có trong bữa ăn là <span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image046.gif" v:shapes="_x0000_i1050" width="88" /></span>.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Số
đơn vị dinh dưỡng D2 có trong bữa ăn là <span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image048.gif" v:shapes="_x0000_i1051" width="88" /></span>.<span lang="PT-BR"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Số
đơn vị dinh dưỡng D3 có trong bữa ăn là <span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"><img height="24" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image050.gif" v:shapes="_x0000_i1052" width="88" /></span>.<span lang="PT-BR"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<span lang="PT-BR">Theo đề bài ta có bài toán QHTT<o:p></o:p></span></div>
<div align="center" class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: center;">
<span style="mso-text-raise: -45.0pt; position: relative; top: 45.0pt;"><img height="125" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image052.gif" v:shapes="_x0000_i1053" width="212" /></span><o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
2)
Bài toán đối ngẫu (Q) là:<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                  <span style="mso-text-raise: -45.0pt; position: relative; top: 45.0pt;"><img height="125" src="file:///C:/Users/home/AppData/Local/Temp/msohtmlclip1/01/clip_image054.gif" v:shapes="_x0000_i1054" width="221" /></span><o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
3)
Giải bằng phương pháp đơn hình bài toán (Q) ta có kết quả sau đây: <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                          
20        25       30       
0           0        0<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Co
So      CJ     Ph.An      
A1       A2       A3      
A4       A5       A6<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A4          0      
10              4          2          1          1          0          0<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A5         
0       12              1          7          3          0          1          0<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A6         
0       14              3          1          4          0          0          1<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                         
-20       -25       -30        0         0          0<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A4         
0     1 3/2            13/4     
7/4         0       
 1         0      -1/4<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A5         
0      3/2            -5/4    
  25/4         0         0       
 1      -3/4<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A3        
30      7/2            3/4     
  1/4          1       
 0         0       1/4<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                          5/2        -35/2      
0         0       
0       15/2<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A4         
0   152/25          18/5       
 0          0       
1        -7/25   
-1/25<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A2        
25     6/25           -1/5      
  1       
   0        0  
     4/25   
-3/25<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A3        
30    86/25          4/5       
   0          1       
0        -1/25    
7/25<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                            -1          0           0        0       
14/5      27/5<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A1       
 20    76/45       
      1          0       
   0      5/18      -7/90   
-1/90<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A2       
 25    26/45       
      0          1           0      1/18      13/90  
-11/90<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 A3       
 30    94/45       
      0          0       
   1      -2/9    
  1/45    13/45<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
                                               0        0     
      0       5/18  
  49/18     97/18<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
----------------------------------------------------------------------------------------<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Phương
án tối ưu của bài toán đối ngẫu là: <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
 y = ( 
76/45,  26/45,  94/45)<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Giá
trị tối ưu: f = 998/9<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Phương
án tối ưu của bài toán đối gốc là: <o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
x=
(  5/18, 49/18, 97/18)<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<b><span lang="PT-BR">Câu III:   <o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt; tab-stops: 238.5pt;">
<b><span lang="PT-BR">Trường hợp xây dựng bằng phương pháp
Fogel      <o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<span lang="PT-BR">1) Phương án ban đầu
được xây dựng bằng phương pháp Fogel như sau:</span><span lang="PT-BR"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 131.4pt; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-yfti-tbllook: 480;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-diagonal-down: .5pt solid windowtext; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
          j<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
i<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
25<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
35<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
120<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
50<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
110<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
9<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
5    <o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
     <b>110<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
7<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
1   1    
  K<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
80<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
2<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>25            <o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
8<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>35<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
10<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>10<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
      <b>10<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
<b><u>4 </u></b>   2     2<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
40<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
5<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
7<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
9<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
4<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
      <b> 40<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
1     3   
  <b><u>3</u></b><o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
<br /></div>
<div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
3<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
K<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
K<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
1<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
1<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
1<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
4<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<b><u>4<o:p></o:p></u></b></div>
<div class="MsoNormal" style="text-align: justify;">
1<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
2<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
2<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
2<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<span lang="PT-BR">2)   Đây
là phương án cực biên, vì tập các ô chọn không chứa chu trình. Ta kiểm tra tính
tối  ưu của phương án:<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Chọn
các số ri và sj như sau:<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 1.45in; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-table-layout-alt: fixed; mso-yfti-tbllook: 480;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
9<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
5    <o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
     <b>110<o:p></o:p></b></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
7<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
R1=0<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
2<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>25            <o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
8<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>35<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
10<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>10<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
      <b>10<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
R2=-5<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
5<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
7<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
9<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
4<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
      <b> 40<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
R3=-3<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
S1=3<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
S2 = -3<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
S3 = -5<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
S4 = -1<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 45.0pt;" valign="top" width="60">
  <div class="MsoNormal" style="text-align: justify;">
<br /></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Ta
được ma trận cước phí mới<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<table border="1" cellpadding="0" cellspacing="0" class="MsoTableGrid" style="border-collapse: collapse; border: none; margin-left: 1.45in; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0in 5.4pt 0in 5.4pt; mso-table-layout-alt: fixed; mso-yfti-tbllook: 480;">
 <tbody>
<tr>
  <td style="border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
12<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
3<o:p></o:p></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
0    <o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
     <b>110<o:p></o:p></b></div>
</td>
  <td style="border-left: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
6<o:p></o:p></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
0<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>25            <o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
0<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>35<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
0<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
       <b>10<o:p></o:p></b></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
0<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
      <b>10<o:p></o:p></b></div>
</td>
 </tr>
<tr>
  <td style="border-top: none; border: solid windowtext 1.0pt; mso-border-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 1.0in;" valign="top" width="96">
  <div class="MsoNormal" style="text-align: justify;">
5<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 63.0pt;" valign="top" width="84">
  <div class="MsoNormal" style="text-align: justify;">
1<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 52.5pt;" valign="top" width="70">
  <div class="MsoNormal" style="text-align: justify;">
1<o:p></o:p></div>
</td>
  <td style="border-bottom: solid windowtext 1.0pt; border-left: none; border-right: solid windowtext 1.0pt; border-top: none; mso-border-alt: solid windowtext .5pt; mso-border-left-alt: solid windowtext .5pt; mso-border-top-alt: solid windowtext .5pt; padding: 0in 5.4pt 0in 5.4pt; width: 46.5pt;" valign="top" width="62">
  <div class="MsoNormal" style="text-align: justify;">
0<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
      <b> 40<o:p></o:p></b></div>
</td>
 </tr>
</tbody></table>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
Đay
là phương án tối ưu.<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt; tab-stops: 238.5pt;">
 <b><span lang="PT-BR">Trường hợp xây dựng bằng phương pháp min-cước:<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-left: -27.0pt; tab-stops: 238.5pt;">
<span lang="PT-BR">Kết quả
trùng với phương pháp Fpgel.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin-left: .25in; tab-stops: 118.5pt; text-align: justify;">
<br /></div>
<div class="MsoNormal" style="margin-left: -27.0pt;">
<span style="position: relative; text-align: justify; top: 31pt;">

</span></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 1.5in; mso-list: l0 level1 lfo2; tab-stops: list 1.5in; text-indent: -.5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 1.5in; mso-list: l0 level1 lfo2; tab-stops: list 1.5in; text-indent: -.5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 1.5in; mso-list: l0 level1 lfo2; tab-stops: list 1.5in; text-indent: -.5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 21.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 21.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 21.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 21.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 21.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="margin-left: 21.0pt;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify; text-indent: .5in;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>
<div class="MsoNormal" style="text-align: justify;">
<o:p></o:p></div>

ĐỀ THI MÔN QUY HOẠCH TUYẾN TÍNH

TR TRƯỜNG ĐH CÔNG NGHIỆP TPHCM KHOA KHOA HỌC CƠ BẢN ĐỀ THI MÔN QUY HOẠCH TUYẾN TÍNH (Lớp ĐH-15-3-2011 - Thôøi gian 60 phút - Đề 1 ...