document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1040512>Question 1040512</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Donut Delights, Inc. has determined that when x donuts are made daily, the profit P, in dollars, is given by<BR>\n" );
document.write( "          P(x) = –0.002 x2 + 4.1x – 1600\r<BR>\n" );
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document.write( "(a) What is the company’s profit if 700 donuts are made daily? answer___\r<BR>\n" );
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document.write( "(b) How many donuts should be made daily in order to maximize the company’s profit? Show work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #655364 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=655364\">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+=+-.002x%5E2+%2B+4.1x+-+1600+ ALIGN=MIDDLE  ALT=\"+P%28x%29+=+-.002x%5E2+%2B+4.1x+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This is a parabola with a maximum.<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+700+ ALIGN=MIDDLE  ALT=\"+x+=+700+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28700%29+=+-.002%2A700%5E2+%2B+4.1%2A700+-+1600+ ALIGN=MIDDLE  ALT=\"+P%28700%29+=+-.002%2A700%5E2+%2B+4.1%2A700+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28700%29+=+-.002%2A490000+%2B+2870+-+1600+ ALIGN=MIDDLE  ALT=\"+P%28700%29+=+-.002%2A490000+%2B+2870+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28700%29+=+-980+%2B+2870+-+1600+ ALIGN=MIDDLE  ALT=\"+P%28700%29+=+-980+%2B+2870+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28700%29+=+290+ ALIGN=MIDDLE  ALT=\"+P%28700%29+=+290+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "$290 is the profit when 700 donuts are made<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "(b)<BR>\n" );
document.write( "The formula for the x-value of the maximum is:<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;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+=+-4.1%2F%282%2A%28-.002%29%29+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+-4.1%2F%282%2A%28-.002%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+=+4.1%2F.004+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+4.1%2F.004+\"   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+=+1025+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+=+1025+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+P%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, plug <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5Bmax%5D+ ALIGN=MIDDLE  ALT=\"+x%5Bmax%5D+\"   DISABLED_style= \"max-width:90%; height:auto;\" > back<BR>\n" );
document.write( "into the equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%281025%29+=+-.002%2A1025%5E2+%2B+4.1%2A1025+-+1600+ ALIGN=MIDDLE  ALT=\"+P%281025%29+=+-.002%2A1025%5E2+%2B+4.1%2A1025+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%281025%29+=+-.002%2A1050625+%2B+4202.25+-+1600+ ALIGN=MIDDLE  ALT=\"+P%281025%29+=+-.002%2A1050625+%2B+4202.25+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%281025%29+=+-2101.25+%2B+4202.25+-+1600+ ALIGN=MIDDLE  ALT=\"+P%281025%29+=+-2101.25+%2B+4202.25+-+1600+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%281025%29+=+4202.5+-+3701.25+ ALIGN=MIDDLE  ALT=\"+P%281025%29+=+4202.5+-+3701.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%281025%29+=+501.25+ ALIGN=MIDDLE  ALT=\"+P%281025%29+=+501.25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The maximum profit, making 1025 donuts is $501.25<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+800%2C+400%2C+-400%2C+1800%2C+-50%2C+560%2C+-.002x%5E2+%2B+4.1x+-+1600+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+800%2C+400%2C+-400%2C+1800%2C+-50%2C+560%2C+-.002x%5E2+%2B+4.1x+-+1600+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );