规划的建模题
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; LINE-HEIGHT: 22pt; mso-char-indent-count: 2.0; mso-line-height-rule: exactly"><FONT color=#000000><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">要对四种产品（</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A1</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A2</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A3</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">，</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A4</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）在五条生产线（</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">B1</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">到</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">B5</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">）上的生产进行规划。产品</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A1</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">和</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A4</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的单位纯利润为</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">7</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">元，产品</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A2</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的单位纯利润为</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">8</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">元，产品</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">A3</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的单位纯利润为</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">9</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">元。在规划期内这五条生产线各自可以进行生产的时间长度各不相同。</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">B1</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">到</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">B5</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">的最大可用生产时间分别为</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">4500</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小时，</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">5000</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小时，</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">4500</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小时，</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">1500</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小时和</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><FONT face="Times New Roman">2500</FONT></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'">小时。表列出了在每条生产线上生产每种产品一个单位所需要的时间。</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt"><?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p></SPAN></FONT></P><P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; mso-list: l0 level1 lfo1; mso-char-indent-count: 2.0; tab-stops: list 42.0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体"><SPAN style="mso-list: Ignore">1.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体">假设生产是流水线作业，产品<SPAN lang=EN-US>A1</SPAN>到<SPAN lang=EN-US>A4</SPAN>各应生产多少才能够使总利润最大？<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; mso-list: l0 level1 lfo1; mso-char-indent-count: 2.0; tab-stops: list 42.0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体"><SPAN style="mso-list: Ignore">2.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体">如果在生产过程中允许在生产线之间进行人员转移（从而使工时也相应转移），如表<SPAN lang=EN-US>2</SPAN>所示，则最大利润是多少？应转移多少个工时，如何转移？<SPAN lang=EN-US><o:p></o:p></SPAN></SPAN></FONT></P>
<P class=MsoNormal style="MARGIN: 0cm 0cm 0pt; TEXT-INDENT: 24pt; mso-list: l0 level1 lfo1; mso-char-indent-count: 2.0; tab-stops: list 42.0pt"><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-bidi-font-family: 宋体"><SPAN style="mso-list: Ignore">3.<SPAN style="FONT: 7pt 'Times New Roman'"> </SPAN></SPAN></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体">如果生产不是流水线作业，模型应如何修改？</SPAN></FONT></P> <P>表1<SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><FONT color=#000000>单位生产时间</FONT></SPAN></P>
<P> 生产线 <BR>产品 B1 B2 B3 B4 B5<BR>A1 1.3 0.9 2 0.3 0.9<BR>A2 1.8 1.7 1.4 0.6 1.1<BR>A3 1.3 1.2 1.3 1 1.4<BR>A4 0.9 1.1 1 0.9 1<BR></P>
<P><FONT color=#000000><STRONG><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">表</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">2</SPAN></STRONG><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><SPAN style="mso-spacerun: yes"> </SPAN></SPAN><SPAN style="FONT-SIZE: 12pt; FONT-FAMILY: 宋体; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-font-kerning: 1.0pt; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA">可以进行的人员转移</SPAN><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><SPAN style="mso-spacerun: yes"> </SPAN></SPAN></FONT></P>
<P><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><SPAN style="mso-spacerun: yes"></SPAN></SPAN></FONT> </P>
<P><FONT color=#000000><SPAN lang=EN-US style="FONT-SIZE: 12pt; FONT-FAMILY: 'Times New Roman'; mso-fareast-font-family: 宋体; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-CN; mso-bidi-language: AR-SA"><SPAN style="mso-spacerun: yes"> 目的地 来源地 最大可转移<BR> B1 B2 B3 B4 B5 总工时数<BR>B1 - yes yes yes no 400<BR>B2 no - yes no yes 800<BR>B3 yes yes - yes no 500<BR>B4 no no no - yes 200<BR>B5 yes yes yes no - 300<BR></SPAN></SPAN></FONT></P>
[ 本帖最后由 freezejerry 于 2008-12-1 21:04 编辑 ] 上几天有人问过我这个题，也有人在这个论坛发过贴... 既然是考试就要自己搞定哈，呵呵~ 我会的话一定自己去做
可惜我不会 <P>我可能没看懂，这个问题1不是很难，先求出每条生产线单位时间效率最高产品项，按这些求总利润。</P>
<P>各生产线单位时间各产品效率</P>
<P class=p0 style="MARGIN-TOP: 0pt; MARGIN-BOTTOM: 0pt"><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'">5.38</SPAN><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'"> </SPAN><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'">7.78 3.50 23.33</SPAN><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'"> </SPAN><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'">7.78</SPAN><SPAN style="FONT-SIZE: 10.5pt; FONT-FAMILY: 'Times New Roman'; mso-spacerun: 'yes'"><?xml:namespace prefix = o ns = "urn:schemas-microsoft-com:office:office" /><o:p></o:p></SPAN></P>
<P class=p0 style="MARGIN-TOP: 0pt; MARGIN-BOTTOM: 0pt"><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'">4.44 4.71 5.71 13.33 7.27 </SPAN><SPAN style="FONT-SIZE: 10.5pt; FONT-FAMILY: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></SPAN></P>
<P class=p0 style="MARGIN-TOP: 0pt; MARGIN-BOTTOM: 0pt"><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'">6.92 7.50 6.92 9.00 6.43 </SPAN><SPAN style="FONT-SIZE: 10.5pt; FONT-FAMILY: 'Times New Roman'; mso-spacerun: 'yes'"><o:p></o:p></SPAN></P>
<P class=p0 style="MARGIN-TOP: 0pt; MARGIN-BOTTOM: 0pt"><SPAN style="FONT-WEIGHT: normal; FONT-SIZE: 12pt; COLOR: rgb(0,0,0); FONT-STYLE: normal; FONT-FAMILY: '宋体'; mso-spacerun: 'yes'">7.78 6.36 7.00 7.78 7.00 </SPAN></P><!--EndFragment-->
<P>B1生产A4，B2生产A1，B3生产A4，B3生产A1，B5生产A1</P>
<P>7.78*4500+6.36*5000+7*4500+23.33*1500+7*2500=159833.33</P>
<P> </P> 谢谢了~~能具体点么~~~
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