document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=650287>Question 650287</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A company sells running shoes to dealers at a rate of $30 per pair if fewer than 65 pairs are ordered. If a dealer orders 65 or more pairs (up to 600), the price per pair is reduced at a rate of 4 cents times the number ordered. What size order will produce the maximum amount of money for the company? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #407359 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=407359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company sells running shoes to dealers at a rate of $30 per pair if fewer than 65 pairs are ordered. If a dealer orders 65 or more pairs (up to 600), the price per pair is reduced at a rate of 4 cents times the number ordered. What size order will produce the maximum amount of money for the company?\r<BR>\n" );
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document.write( "Let amount of pairs of shoes to be sold, be x, and revenue, R(x)<BR>\n" );
document.write( "Then: R(x) = 30x, if r < 65<BR>\n" );
document.write( "R(x) = x(30 - .04x), or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28x%29+=+30x+-+.04x%5E2 ALIGN=MIDDLE  ALT=\"R%28x%29+=+30x+-+.04x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, if 65 &#8804; x &#8804; 600 \r<BR>\n" );
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document.write( "Maximum amount of shoes it needs to sell to realize maximum revenue: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-+b%29%2F2a%7D%7D%2C+or+%7B%7B%7Bx+=+%28-+30%29%2F%282+%2A+-+.04%29 ALIGN=MIDDLE  ALT=\"x+=+%28-+b%29%2F2a%7D%7D%2C+or+%7B%7B%7Bx+=+%28-+30%29%2F%282+%2A+-+.04%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-+30%29%2F-+.08 ALIGN=MIDDLE  ALT=\"x+=+%28-+30%29%2F-+.08\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or x = 375 pairs\r<BR>\n" );
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document.write( "With maximum amount of pairs to be sold to realize maximum revenue being 375, maximum revenue will occur at:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28375%29+=+30%28375%29+-+.04%28375%29%5E2 ALIGN=MIDDLE  ALT=\"R%28375%29+=+30%28375%29+-+.04%28375%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=R%28375%29+=+11250+-+.04%28140625%29 ALIGN=MIDDLE  ALT=\"R%28375%29+=+11250+-+.04%28140625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R(375) = 11,250 – 5,625\r<BR>\n" );
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document.write( "R(375), or maximum revenue for 375 pairs being sold = $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%285625%29 ALIGN=MIDDLE  ALT=\"highlight_green%285625%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com  </SPAN>\n" );
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