document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36450>Question 36450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The inventor of a new product believes that the cost of producing the product is given by the function C(x) = 1.75x + 7000.  If the inventor charges $4 per unit, then her profit for producing and selling x units is given by the function P(x) =  2.25x – 7000\r<BR>\n" );
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document.write( "(a) What is her profit if she sells 2000 units?\r<BR>\n" );
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document.write( " (b) What is her profit if she sells 5000 units?\r<BR>\n" );
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document.write( "(c) What is the break-even point for sales stated in the number of units?<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 #22343 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=22343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the inventor in the above exercise charges $4 per unit, then her profit for producing and selling  units is given by the function   \r<BR>\n" );
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document.write( "a.       What is her profit if she sells 2000 units?\r<BR>\n" );
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document.write( "b.      What is her profit if she sells 500 units\r<BR>\n" );
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document.write( "c.       What is the break-even point for sales?\r<BR>\n" );
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document.write( "a. P(2000)= 2.25(2000)-7000= loss of $2500 \r<BR>\n" );
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document.write( "b.P(500) = 2.25(500)-7000= loss of $5875\r<BR>\n" );
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document.write( "c.Break-even means Cost = Profit\r<BR>\n" );
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document.write( "    1.75x+7000=2.25-7000\r<BR>\n" );
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document.write( "    0.5x=14000\r<BR>\n" );
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document.write( "         x= 28000 units\r<BR>\n" );
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