利润最优化问题！

赤雪恋晴

< ><FONT size=3>某工厂生产三种产品<FONT face="Times New Roman">I</FONT>﹑<FONT face="Times New Roman">II</FONT>﹑III,每种产品均要经过A,B两道工序加工，该厂有两种规格的设备能定成A 工序；有三种设备能定成B 工序。产品I 可在A,B的任一规格设备上加工。<p></p></FONT></P>
< ><FONT size=3>产品II 可在任一种规格的A 设备上加工。但完成B 工序时，只能在B1设备上加工,产品III在A2与B2设备上加工。已知在各种设备上加工的单位工时，原材料单价，产品销售单价，各种设备的有效台时，及满负荷操作时的设备费用，如下表。要求制定最优的产品加工方案，使该厂利润最大。<p></p></FONT></P>
<TABLE  cellSpacing=0 cellPadding=0 width=631 border=1>

<TR>
<TD  vAlign=top width=95 rowSpan=2>
<  align=center>设备<p></p></P></TD>
<TD  vAlign=top width=284 colSpan=3>
<P  align=center>产品的单价工时</P></TD>
<TD  vAlign=top width=121>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=132>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">I</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">II</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">III</FONT></P></TD>
<TD  vAlign=top width=121>
<P >设备的有效台时</P></TD>
<TD  vAlign=top width=132>
<P >满负荷的设备费用</P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">A1</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">5</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">10</FONT></P></TD>
<TD  vAlign=top width=95>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=121>
<P  align=center><FONT face="Times New Roman">6000</FONT></P></TD>
<TD  vAlign=top width=132>
<P  align=center><FONT face="Times New Roman">300</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">A2</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">7</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">9</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">12</FONT></P></TD>
<TD  vAlign=top width=121>
<P  align=center><FONT face="Times New Roman">10000</FONT></P></TD>
<TD  vAlign=top width=132>
<P  align=center><FONT face="Times New Roman">321</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">B1</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">6</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">8</FONT></P></TD>
<TD  vAlign=top width=95>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=121>
<P  align=center><FONT face="Times New Roman">4000</FONT></P></TD>
<TD  vAlign=top width=132>
<P  align=center><FONT face="Times New Roman">250</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">B2</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">4</FONT></P></TD>
<TD  vAlign=top width=95>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">11</FONT></P></TD>
<TD  vAlign=top width=121>
<P  align=center><FONT face="Times New Roman">7000</FONT></P></TD>
<TD  vAlign=top width=132>
<P  align=center><FONT face="Times New Roman">283</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">B3</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">7</FONT></P></TD>
<TD  vAlign=top width=95>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=95>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=121>
<P  align=center><FONT face="Times New Roman">4000</FONT></P></TD>
<TD  vAlign=top width=132>
<P  align=center><FONT face="Times New Roman">200</FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center>原料单价</P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">0.25</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">0.35</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">0.50</FONT></P></TD>
<TD  vAlign=top width=121>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=132>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD></TR>
<TR>
<TD  vAlign=top width=95>
<P  align=center>销售单价</P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">1.25</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">2.00</FONT></P></TD>
<TD  vAlign=top width=95>
<P  align=center><FONT face="Times New Roman">2.80</FONT></P></TD>
<TD  vAlign=top width=121>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD>
<TD  vAlign=top width=132>
<P ><FONT face="Times New Roman"> <p></p></FONT></P></TD></TR></TABLE>
<P ><FONT size=3><FONT face="Times New Roman"></FONT></FONT> </P>

赤雪恋晴

<><TABLE medium none; BORDER-TOP: medium none; BORDER-LEFT: medium none; WIDTH: 473.4pt; BORDER-BOTTOM: medium none; BORDER-COLLAPSE: collapse; mso-border-alt: solid windowtext .5pt; mso-padding-alt: 0cm 5.4pt 0cm 5.4pt" cellSpacing=0 cellPadding=0 width=631 border=1><TR><TD windowtext 0.5pt solid; PADDING-RIGHT: 5.4pt; BORDER-TOP: windowtext 0.5pt solid; PADDING-LEFT: 5.4pt; PADDING-BOTTOM: 0cm; BORDER-LEFT: windowtext 0.5pt solid; WIDTH: 99pt; PADDING-TOP: 0cm; BORDER-BOTTOM: windowtext 0.5pt solid; BACKGROUND-COLOR: transparent" vAlign=top width=132>< 0cm 0cm 0pt">满负荷的设备费用<p></p></P></TD></TR></TABLE></P><>A1   :300</P><P>A2  321</P><P>B1  250</P><P>B2 283</P><P>B3 200</P>

百合叶

<>你不会是没有题了才那来发的吧?</P>

赤雪恋晴

<>是很简单啊！但是我想征求更好的方法啊！</P>