document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=102423>Question 102423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following applications involving functions.\r<BR>\n" );
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document.write( "If the inventor in exercise 53 charges $4 per unit, then her<BR>\n" );
document.write( "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? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #74479 by </B><A HREF=/tutors/aboutme.mpl?userid=JP><B>JP(22)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JP><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=JP><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=74479\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the function is P(x)=2.25x-7000\r<BR>\n" );
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document.write( "A.) For every instance of x, you must plug in 2000 units since x is equal to the units sold.  Therefore, P(2000)=2.25(2000)-7000<BR>\n" );
document.write( "2.25(2000)=4500-7000=-$2500 profit.\r<BR>\n" );
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document.write( "B.)For every instance of x, you must plug in 5000 units since x is equal to the units sold.  Therefore, p(5000)=2.25(5000)-7000<BR>\n" );
document.write( "2.25(5000)=11250, then subtract 7000 to get a profit of $4250\r<BR>\n" );
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document.write( "C.)To get the break-even point you must set the units to x.<BR>\n" );
document.write( "Your equation is P(x)=2.25(x)-7000=0<BR>\n" );
document.write( "2.25(x)=2.25x-7000=0  Then add 7000 to the other side.<BR>\n" );
document.write( "2.25x=7000 divide now to get the x variable alone<BR>\n" );
document.write( "x=7000/2.25 <BR>\n" );
document.write( "x=$3111.11<BR>\n" );
document.write( "Plug it into the original function to verify your work.<BR>\n" );
document.write( "P(3111.11)=2.25(3111.11)-7000<BR>\n" );
document.write( "2.25(3111.11)=7000 then subtract 7000 <BR>\n" );
document.write( "7000-7000=0 or your break-even point\r<BR>\n" );
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document.write( "I hope this helps...however, please verify that the function p(x)=2.25x-7000 is the correct function given by your book.  If you have any further questions let me know. </SPAN>\n" );
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