document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1139816>Question 1139816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A specialty entertainment store find that if it sells x life-size animatronic  Bryce Harper statues per month, its profit (In dollars) will be P(x)=-60x^2+1800x-7500. \r<BR>\n" );
document.write( "\n" );
document.write( "A. Find any break even points.<BR>\n" );
document.write( "B. Find the number of items that need to be produced and sold in order to maximize the profit.<BR>\n" );
document.write( "C. Find the maximum profit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760322 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=760322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> At break-even point, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28x%29+=+0+ ALIGN=MIDDLE  ALT=\"+P%28x%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-60x%5E2+%2B+1800x+-+7500+=+0+ ALIGN=MIDDLE  ALT=\"+-60x%5E2+%2B+1800x+-+7500+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-x%5E2+%2B+30x+-+125+=+0+ ALIGN=MIDDLE  ALT=\"+-x%5E2+%2B+30x+-+125+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+-x+%2B+25+%29%2A%28+x+-+5+%29+=+0+ ALIGN=MIDDLE  ALT=\"+%28+-x+%2B+25+%29%2A%28+x+-+5+%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( by looking at it )<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+25+ ALIGN=MIDDLE  ALT=\"+x+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+5+ ALIGN=MIDDLE  ALT=\"+x+=+5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "5 or 25 statues/mo give zero profit ( break even )<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "The x-value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+P%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=+P%5Bmax%5D+=+-1800%2F%282%2A%28-60%29%29+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-1800%2F%282%2A%28-60%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=+P%5Bmax%5D+=+1800%2F120+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+1800%2F120+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+15+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+15+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "15 item/mo will maximize profit<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%2815%29+=+-60%2A15%5E2+%2B+1800%2A15+-+7500+ ALIGN=MIDDLE  ALT=\"+P%2815%29+=+-60%2A15%5E2+%2B+1800%2A15+-+7500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+-60%2A225+%2B+27000+-+7500+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-60%2A225+%2B+27000+-+7500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+-13500+%2B+27000+-+7500+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+-13500+%2B+27000+-+7500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+=+6000+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+=+6000+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$6000 is max profit<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+400%2C+400%2C+-3%2C+30%2C+-700%2C+7000%2C+-60x%5E2+%2B+1800x+-+7500+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-3%2C+30%2C+-700%2C+7000%2C+-60x%5E2+%2B+1800x+-+7500+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );