document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92122>Question 92122</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with these problems please.\r<BR>\n" );
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document.write( "53. Business and finance. 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<BR>\n" );
document.write( "How much does it cost to produce 2000 units of her invention?\r<BR>\n" );
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document.write( "54. 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<BR>\n" );
document.write( "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?\r<BR>\n" );
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document.write( "Thanks so much for your help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #66978 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=66978\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 53. Business and finance. 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<BR>\n" );
document.write( "How much does it cost to produce 2000 units of her invention? <BR>\n" );
document.write( "C(1000) = 1.75*1000+7000<BR>\n" );
document.write( "C(1000) = 1750 + 7000 = $8750<BR>\n" );
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document.write( "54. 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<BR>\n" );
document.write( "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 = 4500 - 7000 = -$2500<BR>\n" );
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document.write( "(b) What is her profit if she sells 5000 units?<BR>\n" );
document.write( "P(5000) = 2.25*5000-7000 = 11250-7000 = $4250<BR>\n" );
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document.write( "(c) What is the break-even point for sales? <BR>\n" );
document.write( "2.25x-7000=0<BR>\n" );
document.write( "2.25x = 7000<BR>\n" );
document.write( "x = 3111 or 3112 units will result in no profit or \"break even\".<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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