document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=504498>Question 504498</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Formulate but do not solve the following exercise as a linear programming problem.<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 $40/acre whereas that of crop B is $70/acre. The farmer has a maximum of $7710 available for land cultivation. Each acre of crop A requires 20 labor-hours, and each acre of crop B requires 24 labor-hours. The farmer has a maximum of 3008 labor-hours available. If she expects to make a profit of $190/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?<BR>\n" );
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document.write( "P =  ?   subject to the constraints \r<BR>\n" );
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document.write( "cost  ?<BR>\n" );
document.write( "labor ?\r<BR>\n" );
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document.write( "x &#8805; 0 <BR>\n" );
document.write( "y &#8805; 0 \r<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 #339621 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=339621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer plans to plant two crops, A and B .<BR>\n" );
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document.write( "A>= 0<BR>\n" );
document.write( "B>= 0<BR>\n" );
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document.write( "The cost of cultivating crop A is $40/acre whereas that of crop B is $70/acre.<BR>\n" );
document.write( "The farmer has a maximum of $7710 available for land cultivation. <BR>\n" );
document.write( "Cost: 40A + 70B <= 7710<BR>\n" );
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document.write( "Each acre of crop A requires 20 labor-hours, and each acre of crop B requires 24 labor-hours. The farmer has a maximum of 3008 labor-hours available.<BR>\n" );
document.write( "Labor: 20A + 24B <= 3008<BR>\n" );
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document.write( " If she expects to make a profit of $190/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?<BR>\n" );
document.write( "Objective Function: P = 190A + 200B<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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