document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452984>Question 452984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total cost(in dollars) for a company to manufacture and sell x items per week is C=60x+300, where as the revenue brought in selling all x items is R=100x-0.5x^2 . How many items must be sold to obtain a weekly profit of $300?<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 #311246 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=311246\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Profit is (revenue - cost)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R+=+100x+-+.5x%5E2%0D%0A%7B%7B%7BC+=+60x+%2B+300+ ALIGN=MIDDLE  ALT=\"R+=+100x+-+.5x%5E2%0D%0A%7B%7B%7BC+=+60x+%2B+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R+-+C+=+100x+-+.5x%5E2+-+60x+-+300+ ALIGN=MIDDLE  ALT=\"+R+-+C+=+100x+-+.5x%5E2+-+60x+-+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+-+.5x%5E2+%2B+40x+-+300+ ALIGN=MIDDLE  ALT=\"+P+=+-+.5x%5E2+%2B+40x+-+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+300+=+-+.5x%5E2+%2B+40x+-+300+ ALIGN=MIDDLE  ALT=\"+300+=+-+.5x%5E2+%2B+40x+-+300+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+.5x%5E2+%2B+40x+-+600+=+0+ ALIGN=MIDDLE  ALT=\"+-+.5x%5E2+%2B+40x+-+600+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+5x%5E2+%2B+400x+-+6000+=+0+ ALIGN=MIDDLE  ALT=\"+-+5x%5E2+%2B+400x+-+6000+=+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+80x+-+1200+=+0+ ALIGN=MIDDLE  ALT=\"+-+x%5E2+%2B+80x+-+1200+=+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+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%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+=+-1+ ALIGN=MIDDLE  ALT=\"+a+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+b+=+80+ ALIGN=MIDDLE  ALT=\"+b+=+80+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c+=+-1200+ ALIGN=MIDDLE  ALT=\"+c+=+-1200+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+%2B-+sqrt%28+80%5E2+-+4%2A%28-1%29%2A%28-1200%29+%29%29%2F%282%2A%28-1%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%28+80%5E2+-+4%2A%28-1%29%2A%28-1200%29+%29%29%2F%282%2A%28-1%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=x+=+%28-80+%2B-+sqrt%28+6400+-+4800+%29%29%2F%28%28-2%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%28+6400+-+4800+%29%29%2F%28%28-2%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=x+=+%28-80+%2B-+sqrt%28+1600+%29%29%2F%28%28-2%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B-+sqrt%28+1600+%29%29%2F%28%28-2%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=x+=+%28-80+%2B+40%29%2F%28%28-2%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+%2B+40%29%2F%28%28-2%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=+x+=+20+ ALIGN=MIDDLE  ALT=\"+x+=+20+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and, using the negative root<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-80+-+40%29%2F%28%28-2%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-80+-+40%29%2F%28%28-2%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=+x+=+60+ ALIGN=MIDDLE  ALT=\"+x+=+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Selling either 20 or 60 items per week will<BR>\n" );
document.write( "give a profit of $300<BR>\n" );
document.write( "Here's a graph of solutions and the profit curve:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-50%2C+70%2C+-50%2C+500%2C+-x%5E2+%2B+80x+-+1200%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-50%2C+70%2C+-50%2C+500%2C+-x%5E2+%2B+80x+-+1200%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "</TD></TR></TABLE>\n" );