document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087310>Question 1087310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A farmer finds that if she plants 80 trees per acre, each tree will yield 65 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 4 bushels. How many trees should she plant per acre to maximize her harvest? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #701594 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</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=701594\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "This problem, considered as it is stated, makes no sense.\r<BR>\n" );
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document.write( "Below I presented the plot of the quadratic function for the total harvest as function of the number of trees per acre.\r<BR>\n" );
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document.write( "This quadratic function was built formally based on the given condition<BR>\n" );
document.write( "(extrapolated for x >= 80 and for x <= 80, where x is the number of trees per acre).\r<BR>\n" );
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document.write( "The maximum is at x ~ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=385%2F8 ALIGN=MIDDLE  ALT=\"385%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 48.125,<BR>\n" );
document.write( "but the condition says NOTHING about the behavior of this function when n (or x) decreases below 80.\r<BR>\n" );
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document.write( "Therefore I state that the problem (given as it is formulated) makes no sense.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+330%2C+330%2C+-10%2C+110%2C+-1000%2C+10000%2C%0D%0A++++++++++-4x%5E2+%2B+385x%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Plot y = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%5E2%2B385x ALIGN=MIDDLE  ALT=\"-4x%5E2%2B385x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "For solution of similar problem (but correctly formulated !!!) see the link\r<BR>\n" );
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document.write( "https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1078355.html\r<BR>\n" );
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document.write( "in this forum.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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