document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=195688>Question 195688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The owner of a sidewalk expresso stand find that the weekly profit for their business is a function of the price they charge per cup. If x equals the price(in dollars) of one cup, the weekly profit is given P(x)= -2900x^2 + 7250 - 2900.\r<BR>\n" );
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document.write( "Approximate the maximum profit and the price per cup that produces that profit. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #146750 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=146750\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=+-2900x%5E2+%2B+7250x+-+2900 ALIGN=MIDDLE  ALT=\"P%28x%29=+-2900x%5E2+%2B+7250x+-+2900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When the equation is in the form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ax%5E2+%2B+bx+%2B+c ALIGN=MIDDLE  ALT=\"ax%5E2+%2B+bx+%2B+c\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the max or min<BR>\n" );
document.write( "of the function occurs at:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bmax%5D+=+-b%2F%282a%29 ALIGN=MIDDLE  ALT=\"x%5Bmax%5D+=+-b%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (max in this case)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bmax%5D+=+-7250+%2F+%282%2A%28-2900%29%29 ALIGN=MIDDLE  ALT=\"x%5Bmax%5D+=+-7250+%2F+%282%2A%28-2900%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bmax%5D+=+7250+%2F+5800 ALIGN=MIDDLE  ALT=\"x%5Bmax%5D+=+7250+%2F+5800\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5Bmax%5D+=+1.25 ALIGN=MIDDLE  ALT=\"x%5Bmax%5D+=+1.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At maximum profit, the price per cup is $1.25<BR>\n" );
document.write( "And to find the maximum profit:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%29=+-2900x%5E2+%2B+7250x+-+2900 ALIGN=MIDDLE  ALT=\"P%28x%29=+-2900x%5E2+%2B+7250x+-+2900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29=+-2900%2A1.25%5E2+%2B+7250%2A1.25+-+2900 ALIGN=MIDDLE  ALT=\"P%281.25%29=+-2900%2A1.25%5E2+%2B+7250%2A1.25+-+2900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29=+-4531.25+%2B+9062.5+-+2900 ALIGN=MIDDLE  ALT=\"P%281.25%29=+-4531.25+%2B+9062.5+-+2900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29=+-4531.25+%2B+9062.5+-+2900 ALIGN=MIDDLE  ALT=\"P%281.25%29=+-4531.25+%2B+9062.5+-+2900\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281.25%29+=+1631.25 ALIGN=MIDDLE  ALT=\"P%281.25%29+=+1631.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum profit is $1,631.25<BR>\n" );
document.write( "I'll plot to check this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+3%2C+-200%2C+1800%2C+-2900x%5E2+%2B+7250x+-+2900%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C+3%2C+-200%2C+1800%2C+-2900x%5E2+%2B+7250x+-+2900%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Looks like I could be right </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );