document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=463707>Question 463707</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A magazine has a circulation of 140 thousand per month when they charge $2.50 for a magazine.  For each $0.10 increase in price, 5 thousand sales are lost.  How much should be charged per magazine to maximize revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317690 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R(x) = (2.5 + 0.10x)(140 - 5x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.5x%5E2+%2B+1.5x+%2B+350 ALIGN=MIDDLE  ALT=\"-0.5x%5E2+%2B+1.5x+%2B+350\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "revenue attains a maximum when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%29%2F%282a%29+=+%28-1.5%29%2F%282%2A-0.5%29+=+1.5 ALIGN=MIDDLE  ALT=\"x+=+%28-b%29%2F%282a%29+=+%28-1.5%29%2F%282%2A-0.5%29+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Hence to maximize revenue each magazine should be priced at 2.5 + 0.10*1.5 = $2.65. \r<BR>\n" );
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