document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1049535>Question 1049535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Olivia designs and sells necklaces. The materials for each necklace cost $4. She sells an average of 40 necklaces a week for $8. She would like to raise the price, but for each $0.50 increase she would lose four sales each week. \r<BR>\n" );
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document.write( "a) write an expression to represent the price of each necklace.<BR>\n" );
document.write( "b) write an expression to represent the number of necklaces sold per week<BR>\n" );
document.write( "c) use your answers in a) and b) to write an expression that represents Olivia's revenue from the sales of her necklaces.<BR>\n" );
document.write( "d) Write an expression to represent the cost of materials for the necklaces<BR>\n" );
document.write( "e) Use your answers from c) and d) to write an equation for Olivia's profit </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #665137 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=665137\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Olivia designs and sells necklaces. The materials for each necklace cost $4. She sells an average of 40 necklaces a week for $8. She would like to raise the price, but for each $0.50 increase she would lose four sales each week. <BR>\n" );
document.write( "a) write an expression to represent the price of each necklace.<BR>\n" );
document.write( "Ans: p(x) = (800/40) + 50x = 20 + 50x cents<BR>\n" );
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document.write( "b) write an expression to represent the number of necklaces sold per week<BR>\n" );
document.write( "Ans: s(x) = 40 - 4x<BR>\n" );
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document.write( "c) use your answers in a) and b) to write an expression that represents Olivia's revenue from the sales of her necklaces.<BR>\n" );
document.write( "R(x) = price * # of units sold = (20+50x)(40-4x)<BR>\n" );
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document.write( "d) Write an expression to represent the cost of materials for the necklaces<BR>\n" );
document.write( "C(x) = 4(40+x)<BR>\n" );
document.write( "e) Use your answers from c) and d) to write an equation for Olivia's profit<BR>\n" );
document.write( "P(x) =  R(x)-C(x) = (20+50x)(40-4x)-(160+4x) in cents<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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