document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=332126>Question 332126</A>: <I><SPAN STYLE=\"word-break: break-all;\"> P(x)= - 0.08x^2 + 60x - 750  how many units will give a break even point for this product? I'm attempting to use the quadratic equation to solve however I am stuck. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #238057 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=238057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29 ALIGN=MIDDLE  ALT=\"P%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "Profit as a function of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > units, then the break<BR>\n" );
document.write( "even point is where there is zero Profit.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=+-+0.08x%5E2+%2B+60x+-+750 ALIGN=MIDDLE  ALT=\"P%28x%29=+-+0.08x%5E2+%2B+60x+-+750\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-+0.08x%5E2+%2B+60x+-+750 ALIGN=MIDDLE  ALT=\"0+=+-+0.08x%5E2+%2B+60x+-+750\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F8 ALIGN=MIDDLE  ALT=\"100%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0+=+-x%5E2+%2B+750x+-+9375 ALIGN=MIDDLE  ALT=\"0+=+-x%5E2+%2B+750x+-+9375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can complete the square also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%5E2+%2B+750x+=+9375 ALIGN=MIDDLE  ALT=\"-x%5E2+%2B+750x+=+9375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1 ALIGN=MIDDLE  ALT=\"-1\"   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+-+750x+=+-+9375 ALIGN=MIDDLE  ALT=\"x%5E2+-+750x+=+-+9375\"   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+-+750x+%2B+%28750%2F2%29%5E2+=+%28750%2F2%29%5E2+-+9375 ALIGN=MIDDLE  ALT=\"x%5E2+-+750x+%2B+%28750%2F2%29%5E2+=+%28750%2F2%29%5E2+-+9375\"   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+-+750x+%2B+375%5E2+=+375%5E2+-+9375 ALIGN=MIDDLE  ALT=\"x%5E2+-+750x+%2B+375%5E2+=+375%5E2+-+9375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+375%29%5E2+=+140625+-+9375 ALIGN=MIDDLE  ALT=\"%28x+-+375%29%5E2+=+140625+-+9375\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+-+375%29%5E2+=+131250 ALIGN=MIDDLE  ALT=\"%28x+-+375%29%5E2+=+131250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take square root of both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+375+=+362.284 ALIGN=MIDDLE  ALT=\"x+-+375+=+362.284\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+737.284 ALIGN=MIDDLE  ALT=\"x+=+737.284\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+375+=+-362.284 ALIGN=MIDDLE  ALT=\"x+-+375+=+-362.284\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+12.716 ALIGN=MIDDLE  ALT=\"x+=+12.716\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "There is a break-even point after 12 units and another <BR>\n" );
document.write( "after 737 units<BR>\n" );
document.write( "Here's a plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+700%2C+700%2C+-300%2C+1000%2C+-3000%2C+12000%2C++-%288%2F100%29%2Ax%5E2+%2B+60x+-+750+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );