document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1099526>Question 1099526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer sells a product for $10 per unit. The manufacturer’s fixed costs are $1200 per month, and the variable costs are $2.50 per unit.<BR>\n" );
document.write( "a) How many units must the manufacturer produce each month to break even?<BR>\n" );
document.write( "b) Find the profit function for the manufacturer.<BR>\n" );
document.write( "c) Graphtheprofitfunctionshowingclearlytheprofitandlossregions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714062 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714062\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A manufacturer sells a product for $10 per unit.<BR>\n" );
document.write( " The manufacturer’s fixed costs are $1200 per month, and the variable costs are $2.50 per unit.<BR>\n" );
document.write( " a) How many units must the manufacturer produce each month to break even?<BR>\n" );
document.write( "Break even occurs when revenue = total cost<BR>\n" );
document.write( "let x = no. of units<BR>\n" );
document.write( "10x = 2.5x + 1200<BR>\n" );
document.write( "10x - 2.5x = 1200<BR>\n" );
document.write( "7.5x = 1200<BR>\n" );
document.write( "x = 1200/7.5<BR>\n" );
document.write( "x = 160 units have to be sold in 1 month to break even<BR>\n" );
document.write( ":<BR>\n" );
document.write( " b) Find the profit function for the manufacturer.<BR>\n" );
document.write( "p(x) = 10x - (2.5x+1200)<BR>\n" );
document.write( ":<BR>\n" );
document.write( " c) Graphtheprofitfunctionshowingclearlytheprofitandlossregions<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-100%2C+500%2C+-500%2C+3000%2C+2.5x%2B1200%2C+10x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-100%2C+500%2C+-500%2C+3000%2C+2.5x%2B1200%2C+10x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Red is cost, green is revenue, intersect is break even point<BR>\n" );
document.write( "Profit area is above the red and to the right of green  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );