document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020057>Question 1020057</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Formulate but do not solve the following exercise as a linear programming problem.\r<BR>\n" );
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document.write( " A farmer plans to plant two crops, A and B . The cost of cultivating crop A is $45/acre whereas that of crop B is $65/acre. The farmer has a maximum of $8640 available for land cultivation. Each acre of crop A requires 18 labor-hours, and each acre of crop B requires 27 labor-hours. The farmer has a maximum of 3546 labor-hours available. If she expects to make a profit of $150/acre on crop A and $200/acre on crop B, how many acres of each crop, x and y, respectively, should she plant in order to maximize her profit, P?\r<BR>\n" );
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document.write( "---Select--- Maximize or Minimize    P  =  ??    subject to the constraints  \r<BR>\n" );
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document.write( "cost  ??\r<BR>\n" );
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document.write( "    <BR>\n" );
document.write( "labor ??\r<BR>\n" );
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document.write( "    <BR>\n" );
document.write( "x &#8805; 0   <BR>\n" );
document.write( "y &#8805; 0  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636016 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636016\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Maximize <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE P\ =\ 150A\ +\ 200B\">\r<BR>\n" );
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document.write( "Subject to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 45A\ +\ 65B\ \leq\ 8640\"> (cultivation cost)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 18A\ +\ 27B\ \leq\ 3546\"> (labor)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A\ \geq\ 0\"> (non-negative)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE B\ \geq\ 0\"> (non-negative)\r<BR>\n" );
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document.write( "The optimal solutions just happen to be integers, so there is no need to constrain the variables to the integers.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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