document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1092694>Question 1092694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Vinnie owns a t-shirt shop. He has determined that he can sell 150 t-shirts for $10 each. Vinnie's partner, Bob, is not happy with charging $10 for the shirts. \r<BR>\n" );
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document.write( "He tells Vinnie, \"If we can increase the price by just one dollar we can make more money and maximize our revenue!\" Vinnie responds, \"But Bob, my research shows that each time we increase the price by one dollar, we will sell 5 less t-shirts! We will lose money!\" Bob insists that they will make more money by charging more and selling fewer shirts. \r<BR>\n" );
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document.write( "Question:<BR>\n" );
document.write( "What is the most Vinnie will make selling shirts?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #707315 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=707315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [ income ] = [ cost/shirt ] x [ number of shirts sold ]<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of $1 increases in price<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I+=+%28+10+%2B++1%2An+%29%2A%28+150+-+5n+%29+ ALIGN=MIDDLE  ALT=\"+I+=+%28+10+%2B++1%2An+%29%2A%28+150+-+5n+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I+=+1500+%2B+150n+-+50n+-+5n%5E2+ ALIGN=MIDDLE  ALT=\"+I+=+1500+%2B+150n+-+50n+-+5n%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I+=+-5n%5E2+%2B+100n+%2B+1500+ ALIGN=MIDDLE  ALT=\"+I+=+-5n%5E2+%2B+100n+%2B+1500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "The value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+ ALIGN=MIDDLE  ALT=\"+n+\"   DISABLED_style= \"max-width:90%; height:auto;\" > that makes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+I+ ALIGN=MIDDLE  ALT=\"+I+\"   DISABLED_style= \"max-width:90%; height:auto;\" > a maximum<BR>\n" );
document.write( "is given by the formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bmax%5D+=+-b+%2F+%282a%29+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+-b+%2F+%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+=+-5+ ALIGN=MIDDLE  ALT=\"+a+=+-5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+100+ ALIGN=MIDDLE  ALT=\"+b+=+100+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bmax%5D+=+-100%2F%282%2A%28-5%29+%29+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+-100%2F%282%2A%28-5%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n%5Bmax%5D+=+10+ ALIGN=MIDDLE  ALT=\"+n%5Bmax%5D+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If the price is raised $10 ( 10 $1 increases ), then<BR>\n" );
document.write( "income is maximum<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph+%28+700%2C+400%2C+-5%2C+35%2C+-500%2C+2500%2C+-5x%5E2+%2B+100x+%2B+1500+%29+ ALIGN=MIDDLE  ALT=\"+graph+%28+700%2C+400%2C+-5%2C+35%2C+-500%2C+2500%2C+-5x%5E2+%2B+100x+%2B+1500+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );