document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175740>Question 175740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Maximum and minimum word problem Assignment<BR>\n" );
document.write( "1. The school fundraising committee usually sells 1200 shirts a year at $20 each. A survey indicates that, for every $2 increase in price, there will be a drop of 60 sales a year. <BR>\n" );
document.write( "a) Determine algebraic expressions for the price of a shirt and the number of shirts sold. <BR>\n" );
document.write( "Price of shirt:<BR>\n" );
document.write( "Number of shirts sold:<BR>\n" );
document.write( "b)Write an equation for teh revenue, using your expressions from part (a).<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "c) Use your equation from part part (b) to find out what price they should charge for each shirt to maximize the revenue. <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 #130917 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=130917\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. The school fundraising committee usually sells 1200 shirts a year at $20 each. <BR>\n" );
document.write( "A survey indicates that, for every $2 increase in price, there will be a drop of 60 sales a year.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a) Determine algebraic expressions for the price of a shirt and the number of shirts sold.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Let x = no. of $2 price increases<BR>\n" );
document.write( "Price of shirt:  (20+2x)<BR>\n" );
document.write( "Number of shirts sold: (1200-60x)<BR>\n" );
document.write( ":<BR>\n" );
document.write( ";<BR>\n" );
document.write( "b)Write an equation for the revenue, using your expressions from part (a).<BR>\n" );
document.write( "Equation: Rev = (20+2x)*(1200-60x)<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "R(x) = 24000 - 1200x + 2400x - 120x^2<BR>\n" );
document.write( "R(x) = -120x^2 + 1200x + 24000<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) Use your equation from part part (b) to find out what price they should<BR>\n" );
document.write( " charge for each shirt to maximize the revenue.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the axis of symmetry of the above equation. a=-120; b=1200<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1200%29%2F%282%2A-120%29 ALIGN=MIDDLE  ALT=\"%28-1200%29%2F%282%2A-120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-1200%29%2F%28-240%29 ALIGN=MIDDLE  ALT=\"%28-1200%29%2F%28-240%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = +5<BR>\n" );
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document.write( "Price for max revenue: $20+(5*$2) = $30 per shirt for max revenue  <BR>\n" );
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