document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1180677>Question 1180677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The total cost (in dollars) for a company to produce X items per week is C equals 70 X +300. The revenue for selling all X items is our equals 110X -0.5 X squared. How many items must it produce and sell each week for its weekly profit to be $300. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810410 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=810410\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Profit = Revenue minus Cost<br><BR>\n" );
document.write( "Revenue is 110x-0.5x^2; cost is 70x+300; you want the profit to be 300:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300=%28110x-0.5x%5E2%29-%2870x%2B300%29 ALIGN=MIDDLE  ALT=\"300=%28110x-0.5x%5E2%29-%2870x%2B300%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplify and combine like terms on the right<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=300=-0.5x%5E2%2B40x-300 ALIGN=MIDDLE  ALT=\"300=-0.5x%5E2%2B40x-300\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Get everything on one side of the equation with a positive coefficient on the x^2 term<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.5x%5E2-40x%2B600=0 ALIGN=MIDDLE  ALT=\"0.5x%5E2-40x%2B600=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiply by 2 to clear fractions to make the quadratic easier to factor<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-80x%2B1200=0 ALIGN=MIDDLE  ALT=\"x%5E2-80x%2B1200=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor the quadratic; this one factors nicely<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-20%29%28x-60%29=0 ALIGN=MIDDLE  ALT=\"%28x-20%29%28x-60%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: A profit of $300 can be obtained by producing and selling EITHER 20 units or 60 units.<br>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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