document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060581>Question 1060581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jack & Jill charge $20 for a custom painted water pail. They currently sell 80 water pails a month. They estimate that for each $1 decrease in the cost of the pails, they could sell 15 more pails a month. What price will maximize Jack & Jill's income? If they charges this price, how much income should they expect? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675504 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=675504\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> r, income<BR>\n" );
document.write( "x, how many pails sold<BR>\n" );
document.write( "p, price per pail<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=px ALIGN=MIDDLE  ALT=\"r=px\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "n, each dollar decrease in price<BR>\n" );
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document.write( "PRICE    x\r\n" );
document.write( " 20      80\r\n" );
document.write( " 20-1    80+15\r\n" );
document.write( " 20-2    80+2*15\r\n" );
document.write( " 20-3    80+3*15\r\n" );
document.write( " 20-n    80+n*15 or 80+15n\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28r=%2820-n%29%2880%2B15n%29%29 ALIGN=MIDDLE  ALT=\"highlight%28r=%2820-n%29%2880%2B15n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "r is a parabolic function with zeros at  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-n%29%2880%2B15n%29=0 ALIGN=MIDDLE  ALT=\"%2820-n%29%2880%2B15n%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and the MAXIMUM revenue will be exactly in the middle of the two zeros for n.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20-n=0 ALIGN=MIDDLE  ALT=\"20-n=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=20 ALIGN=MIDDLE  ALT=\"n=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=80%2B15n=0 ALIGN=MIDDLE  ALT=\"80%2B15n=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15n=-80 ALIGN=MIDDLE  ALT=\"15n=-80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-80%2F15 ALIGN=MIDDLE  ALT=\"n=-80%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=-5%261%2F3 ALIGN=MIDDLE  ALT=\"n=-5%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "MIDDLE n VALUE<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-5%261%2F3%29%2F2 ALIGN=MIDDLE  ALT=\"%2820-5%261%2F3%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28n=7%261%2F3%29 ALIGN=MIDDLE  ALT=\"highlight%28n=7%261%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----------how many dollars LESS THAN 20, for maximum revenue.\r<BR>\n" );
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document.write( "If Jack and Jill want a price to the nearest penny, then this would be $7.33 per pail.<BR>\n" );
document.write( "Revenue would be  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=7.33%2880%2B7.33%2A15%29=highlight%281392.33%29 ALIGN=MIDDLE  ALT=\"r=7.33%2880%2B7.33%2A15%29=highlight%281392.33%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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