document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164882>Question 1164882</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Acme Robots produces the Robo-Maid. Their annual profit P for producing <BR>\n" );
document.write( "x units per year is given by the equation P(x) = -.02x2 + 400x  -  1000.<BR>\n" );
document.write( "(a) What is their annual profit if 10 units are produced?<BR>\n" );
document.write( "(b) How many units should they produce each year in order to maximize <BR>\n" );
document.write( "profit?<BR>\n" );
document.write( "(b) What is the maximum annual profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789331 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789331\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Profit(10)=-0.02*100+4000-1000=$2998\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10%2C20%2C-1000%2C10000%2C-0.02x%5E2%2B400x-1000%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10%2C20%2C-1000%2C10000%2C-0.02x%5E2%2B400x-1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "vertex is at x=-b/2a or -400/-0.04=10000 units for maximum profit.<BR>\n" );
document.write( "That is 0.02*1000^2+400(10000)-1000=$1,999,000\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-10000%2C10200%2C-1000000%2C2500000%2C-0.02x%5E2%2B400x-1000%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-10000%2C10200%2C-1000000%2C2500000%2C-0.02x%5E2%2B400x-1000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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