document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=122219>Question 122219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following applications involving functions.\r<BR>\n" );
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document.write( "10. Business and finance.  If the inventor in exercise 53 charges $4 per unit, then her profit for producing and selling x units is given by the function\r<BR>\n" );
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document.write( "P(x) = 2.25x – 7000\r<BR>\n" );
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document.write( "(a) What is her profit if she sells 2000 units?<BR>\n" );
document.write( "(b) What is her profit if she sells 5000 units?<BR>\n" );
document.write( "(c) What is the break-even point for sales?<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 #89711 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=89711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2.25x-7000 ALIGN=MIDDLE  ALT=\"f%28x%29=2.25x-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282000%29=2.25%282000%29-7000 ALIGN=MIDDLE  ALT=\"f%282000%29=2.25%282000%29-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2000 ALIGN=MIDDLE  ALT=\"x=2000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282000%29=4500-7000 ALIGN=MIDDLE  ALT=\"f%282000%29=4500-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2.25 and 2,000 to get 4,500\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282000%29=-2500 ALIGN=MIDDLE  ALT=\"f%282000%29=-2500\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7,000 from 4,500 to get -2,500\r<BR>\n" );
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document.write( "So her profit is -2,500 dollars when she sells 2,000 units. In other words, she loses 2,500 dollars when she sells 2,000 units.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2.25x-7000 ALIGN=MIDDLE  ALT=\"f%28x%29=2.25x-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282000%29=2.25%285000%29-7000 ALIGN=MIDDLE  ALT=\"f%282000%29=2.25%285000%29-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=5000 ALIGN=MIDDLE  ALT=\"x=5000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282000%29=11250-7000 ALIGN=MIDDLE  ALT=\"f%282000%29=11250-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply 2.25 and 5,000 to get 11,250\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%282000%29=4250 ALIGN=MIDDLE  ALT=\"f%282000%29=4250\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 7,000 from 11,250 to get 4,250\r<BR>\n" );
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document.write( "So her profit is 4250 dollars when she sells 5,000 units\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "What is the break-even point for sales? The break even point occurs when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=0 ALIGN=MIDDLE  ALT=\"f%28x%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=2.25x-7000 ALIGN=MIDDLE  ALT=\"f%28x%29=2.25x-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given function.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=2.25x-7000 ALIGN=MIDDLE  ALT=\"0=2.25x-7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29 ALIGN=MIDDLE  ALT=\"f%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > with 0\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.25x=7000 ALIGN=MIDDLE  ALT=\"-2.25x=7000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 2.25x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-7000%2F-2.25 ALIGN=MIDDLE  ALT=\"x=-7000%2F-2.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -2.25 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3111.11 ALIGN=MIDDLE  ALT=\"x=3111.11\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
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document.write( "So if you round to the nearest whole number, you get \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3111 ALIGN=MIDDLE  ALT=\"x=3111\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the break-even point is when she sells about 3,111 units </SPAN>\n" );
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