document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=800341>Question 800341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi tutor, \r<BR>\n" );
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document.write( "Can you help me solve the following word problem?\r<BR>\n" );
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document.write( "A farmer grows rutabagas in a field of 8 hectares. He could harvest the crop now and get 3t/ha, which will sell for $200/t. Each week the farmer waits, the yield will increase by 0.3t/ha but the price will drop by $10/t. When should the farmer harvest his rutabagas to get maximum return?\r<BR>\n" );
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document.write( "So far I have this:\r<BR>\n" );
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document.write( "let x be the number of weeks he waits.\r<BR>\n" );
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document.write( "price= 200-10x<BR>\n" );
document.write( "yield= 3-0.3x\r<BR>\n" );
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document.write( "Can u help me with what I should do next. \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483054 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=483054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A farmer grows rutabagas in a field of 8 hectares.<BR>\n" );
document.write( " He could harvest the crop now and get 3t/ha, which will sell for $200/t.<BR>\n" );
document.write( " Each week the farmer waits, the yield will increase by 0.3t/ha but the price will drop by $10/t. When should the farmer harvest his rutabagas to get maximum return? <BR>\n" );
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document.write( "Let w = no. of week to harvest<BR>\n" );
document.write( "f(w) = (3 + .3w)(200 - 10w)<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "f(w) = 600 - 30w + 60w - 3w^2 <BR>\n" );
document.write( "y = f(w)<BR>\n" );
document.write( "y = -3w^2 + 30w + 600<BR>\n" );
document.write( "A quadratic equation, the axis of symmetry; x will be max y Use x = -b/(2a)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-30%29%2F%282%2A-3%29 ALIGN=MIDDLE  ALT=\"%28-30%29%2F%282%2A-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +5 weeks will give max return<BR>\n" );
document.write( "that would be<BR>\n" );
document.write( "(3+1.5)(200-50) = 675 max return<BR>\n" );
document.write( "If he sold right now only<BR>\n" );
document.write( "3 * 200 = 600 </SPAN>\n" );
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