document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=363447>Question 363447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A small business manufactures stickers. Past data indicates that the company's monthly profits from their line of star stickers are a function of the price they charge for a sheet of 100 stars, according to the formula P = 100x - x^2 - 500, where P is the profit IN DOLLARS, and x is the price charged IN CENTS. What price should the company charge to make the maximum profit, and how much profit do they make? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259201 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259201\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P = 100x - x^2 - 500<BR>\n" );
document.write( "=-x^2+100x-500<BR>\n" );
document.write( "-b/2a=50 Equals x at the maximum.<BR>\n" );
document.write( "-50^2+100*50-500=2000 Equals y at the maximum.<BR>\n" );
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document.write( "The company should charge $0.50 and the profit will be $2,000.<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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