document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198870>Question 1198870</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer is going to divide her 60 acre farm between two crops. Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. The farmer can spend at most $2500 on seed. If crop B brings in a profit of $80 per acre, and crop A brings in a profit of $110 per acre, how many acres of each crop should the farmer plant to maximize her profit?\r<BR>\n" );
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document.write( "Acres of crop A=\r<BR>\n" );
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document.write( "Acres of crop B=\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 #832512 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=832512\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "A farmer is going to divide her 60 acre farm between two crops. <BR>\n" );
document.write( "Seed for crop A costs $25 per acre. Seed for crop B costs $50 per acre. <BR>\n" );
document.write( "The farmer can spend at most $2500 on seed. <BR>\n" );
document.write( "If crop B brings in a profit of $80 per acre, and crop A brings in a profit of $110 per acre, <BR>\n" );
document.write( "how many acres of each crop should the farmer plant to maximize her profit?<BR>\n" );
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document.write( "Seed for crop A ($25 per acre) are cheaper than seed for crop B ($50 per acre).\r\n" );
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document.write( "At the same time, profit of crop A ($110 per acre) is greater than profit\r\n" );
document.write( "of crop B ($50 per acre).\r\n" );
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document.write( "The common sense says that the winning strategy is to use as many acres \r\n" );
document.write( "for crop A as possible.\r\n" );
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document.write( "So, divide $2500 by $25 to estimate possible area for crop A\r\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2500%2F25 ALIGN=MIDDLE  ALT=\"2500%2F25\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 100 acres.\r\n" );
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document.write( "Thus, there are enough money for seed A for 60 acres.\r\n" );
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document.write( "So, the optimal strategy is to cultivate crop A only on all 60 acres.\r\n" );
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document.write( "It will give a profit of 60*110 = 6600 dollars.\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved.\r<BR>\n" );
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