document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1169633>Question 1169633</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An athletic store sells about 200 pairs of basketball shoes per month when it charges $120 per pair. For each $2 increase in price, the store sells two fewer pairs of shoes. How much should the store charge to maximize monthly revenue? What is the maximum monthly revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #794531 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=794531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "PRICE    QUANTITY SOLD      REVENUE\r\n" );
document.write( " 120          200\r\n" );
document.write( " 120+2        200-2\r\n" );
document.write( " 120+4        200-4\r\n" );
document.write( ".\r\n" );
document.write( ".\r\n" );
document.write( " 120+x        200-x        (120+x)(200-x)\r\n" );
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document.write( "R for Revenue,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28R=%28120%2Bx%29%28200-x%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28R=%28120%2Bx%29%28200-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the zeros of R.  In the exact middle will be the x value for maximum revenue.\r<BR>\n" );
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document.write( "120+x=0,...<BR>\n" );
document.write( "and then<BR>\n" );
document.write( "200-x=0,...<BR>\n" );
document.write( "and then find the exact middle value.\r<BR>\n" );
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document.write( "Maximum R when x is 40.<BR>\n" );
document.write( "This corresponds to price  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%2B40=160 ALIGN=MIDDLE  ALT=\"120%2B40=160\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollar per pair, for maximum revenue of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160%2A%28200-40%29=180%2A160=25600 ALIGN=MIDDLE  ALT=\"160%2A%28200-40%29=180%2A160=25600\"   DISABLED_style= \"max-width:90%; height:auto;\" > dollars. </SPAN>\n" );
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