document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1048446>Question 1048446</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost, in dollars, to produce x \"I'd rather be a Sasquatch\" T-Shirts is<BR>\n" );
document.write( "C(x)=2x+26, x&#8805;0 and the price-demand function, in dollars per shirt, is<BR>\n" );
document.write( "p(x)= 30-2x, 0&#8804;x&#8804;15.\r<BR>\n" );
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document.write( "a)Find the profit function P(x).<BR>\n" );
document.write( "b)Find the number of items which need to be sold in order to maximize profit.<BR>\n" );
document.write( "c)Find the maximum profit.<BR>\n" );
document.write( "d)Find the price to charge per item in order to maximize profit. <BR>\n" );
document.write( "e)Find and interpret break-even points.\r<BR>\n" );
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document.write( "I came up with the following solutions, which are correct per the answer section:<BR>\n" );
document.write( "a) P(x)= -2x²+28x-26<BR>\n" );
document.write( "b) $7<BR>\n" );
document.write( "c) Max profit: $72<BR>\n" );
document.write( "d) price to charge for max. profit: $16<BR>\n" );
document.write( "e) Cannot figure out. The given solutions per textbook are 1 and 13.\r<BR>\n" );
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document.write( "PLEASE HELP WITH E)!\r<BR>\n" );
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document.write( "THANK YOU!<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 #664019 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=664019\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> RE: TY, e) included<BR>\n" );
document.write( "Profit(x) = R(x) - C(x) where R(x) = px = (30-2x)x<BR>\n" );
document.write( "P(x) = (30x - 2x^2) -(2x+26)<BR>\n" );
document.write( "P(x) = 30x - 2x^2 -2x-26)<BR>\n" );
document.write( "And Yes<BR>\n" );
document.write( "a) P(x) = -2x^2 + 28x - 26 <BR>\n" );
document.write( "completing the square:<BR>\n" );
document.write( "P(x) =  -2(x -7)^2 + 98(49*2) - 26 =  -2(x -7)^2 + 72 Parabola opening downward <BR>\n" );
document.write( "V = (7,72)<BR>\n" );
document.write( "(b&c)x = 7 (# of items sold at max point)  and P(x) = $72 (maximum profit)<BR>\n" );
document.write( "d) price = 30- 2x, = 30-14 = $16<BR>\n" );
document.write( "e) Calculate and interpret the break-even point<BR>\n" );
document.write( "R(x) = C(x)<BR>\n" );
document.write( " (30x - 2x^2)=(2x+26)<BR>\n" );
document.write( " 2x^2 -28x + 26 = 0<BR>\n" );
document.write( "x^2 - 14x + 13 = 0<BR>\n" );
document.write( "(x-13)(x-1) = 0<BR>\n" );
document.write( "x = 1, 13<BR>\n" );
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