document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1109230>Question 1109230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I need help with this question, please!\r<BR>\n" );
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document.write( "When a manufacturer makes 700 units it costs $2,500. When they make 1200 units, it costs $4,000. Assuming the cost is linear, and they sell the product for $50 per unit.\r<BR>\n" );
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document.write( "Find the profit function and use it to find the break-even point. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #724228 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=724228\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plot the Cost, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" >, on the vertical axis<BR>\n" );
document.write( "Plot number of units, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >, on the horizontal axis<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "You are given 2 points on a straight line<BR>\n" );
document.write( "( 700, 2500 )<BR>\n" );
document.write( "( 1200, 4000 )<BR>\n" );
document.write( "Use the general point-slope formula to <BR>\n" );
document.write( "find the equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+C+-+2500+%29+%2F+%28+n+-+700+%29+=+%28+4000+-+2500+%29+%2F+%28+1200+-+700+%29+ ALIGN=MIDDLE  ALT=\"+%28+C+-+2500+%29+%2F+%28+n+-+700+%29+=+%28+4000+-+2500+%29+%2F+%28+1200+-+700+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+C+-+2500+%29+%2F+%28+n+-+700+%29+=+1500+%2F+500+ ALIGN=MIDDLE  ALT=\"+%28+C+-+2500+%29+%2F+%28+n+-+700+%29+=+1500+%2F+500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+C+-+2500+%29+%2F+%28+n+-+700+%29+=+3+ ALIGN=MIDDLE  ALT=\"+%28+C+-+2500+%29+%2F+%28+n+-+700+%29+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+-+2500+=+3%2A%28+n+-+700+%29+ ALIGN=MIDDLE  ALT=\"+C+-+2500+=+3%2A%28+n+-+700+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+3n+-+2100+%2B+2500+ ALIGN=MIDDLE  ALT=\"+C+=+3n+-+2100+%2B+2500+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+3n+%2B+400+ ALIGN=MIDDLE  ALT=\"+C+=+3n+%2B+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Let Profit = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+ ALIGN=MIDDLE  ALT=\"+P+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+50n+-+C+ ALIGN=MIDDLE  ALT=\"+P+=+50n+-+C+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+50n+-+3n+-+400+ ALIGN=MIDDLE  ALT=\"+P+=+50n+-+3n+-+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+47n+-+400+ ALIGN=MIDDLE  ALT=\"+P+=+47n+-+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The break even point is where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+0+ ALIGN=MIDDLE  ALT=\"+P+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+47n+=+400+ ALIGN=MIDDLE  ALT=\"+47n+=+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+n+=+8.51+ ALIGN=MIDDLE  ALT=\"+n+=+8.51+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The break even point would be 9 units<BR>\n" );
document.write( "( can't have part of a unit )<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+3%2A8.51+%2B+400+ ALIGN=MIDDLE  ALT=\"+C+=+3%2A8.51+%2B+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+25.53+%2B+400+ ALIGN=MIDDLE  ALT=\"+C+=+25.53+%2B+400+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+425.53+ ALIGN=MIDDLE  ALT=\"+C+=+425.53+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+50n+-+800+ ALIGN=MIDDLE  ALT=\"+P+=+50n+-+800+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+50%2A8.51+-+425.53+ ALIGN=MIDDLE  ALT=\"+P+=+50%2A8.51+-+425.53+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P+=+425%2C5+-+425.53+ ALIGN=MIDDLE  ALT=\"+P+=+425%2C5+-+425.53+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "close enough </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );