document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62801>Question 62801</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072549017/algebrahomeworkh></A><BR>\n" );
document.write( ": <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<BR>\n" );
document.write( "C(x) = 1.75x + 7000\r<BR>\n" );
document.write( "\n" );
document.write( "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<BR>\n" );
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" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43632 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=43632\">put this solution on YOUR website!</A><BR><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<BR>\n" );
document.write( "C(x) = 1.75x + 7000\r<BR>\n" );
document.write( "\n" );
document.write( "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<BR>\n" );
document.write( "(a) What is her profit if she sells 2000 units?<BR>\n" );
document.write( "P(2000)=2.25(2000)-7000<BR>\n" );
document.write( "P(2000)=4500-7000<BR>\n" );
document.write( "P(2000)=-2500<BR>\n" );
document.write( "That's not a profit, that's a loss.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(b) What is her profit if she sells 5000 units?<BR>\n" );
document.write( "P(5000)=2.25(5000)-7000<BR>\n" );
document.write( "P(5000)=11250-7000<BR>\n" );
document.write( "P(5000)=4250<BR>\n" );
document.write( ":<BR>\n" );
document.write( "(c) What is the break-even point for sales?<BR>\n" );
document.write( "P(x)=C(x)<BR>\n" );
document.write( "2.25x-7000=1.75x+7000<BR>\n" );
document.write( "2.25x-1.75x-7000=1.75x-1.75x+7000<BR>\n" );
document.write( ".50x-7000=7000<BR>\n" );
document.write( ".5x-7000+7000=7000+7000<BR>\n" );
document.write( ".5x=14000<BR>\n" );
document.write( ".5x/.5=14000/.5<BR>\n" );
document.write( "x=28000<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );