document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451173>Question 451173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Total profit=total revenue-total cost,<BR>\n" );
document.write( "P(x)=r(x)-C(x)<BR>\n" );
document.write( "Where x is the nyumber of units sold, find the maximum profit and the number of units that must be sold in order to yield the maximum profit for \r<BR>\n" );
document.write( "\n" );
document.write( "R(x)=5x, C(x)=0.001x^2+1.2x+60 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310278 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=310278\">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++=+r%28x%29+-+c%28x%29+ ALIGN=MIDDLE  ALT=\"+p%28x%29++=+r%28x%29+-+c%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%29+=+5x+-+%28.001x%5E2+%2B+1.2x+%2B+60+%29+ ALIGN=MIDDLE  ALT=\"+p%28x%29+=+5x+-+%28.001x%5E2+%2B+1.2x+%2B+60+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%29+=+5x+-+.001x%5E2+-+1.2x+-+60+ ALIGN=MIDDLE  ALT=\"+p%28x%29+=+5x+-+.001x%5E2+-+1.2x+-+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%29+=+-.001x%5E2+%2B+3.8x+-+60+ ALIGN=MIDDLE  ALT=\"+p%28x%29+=+-.001x%5E2+%2B+3.8x+-+60+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I need to find the max <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > of the function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+p%28x%29+ ALIGN=MIDDLE  ALT=\"+p%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This occurs at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+-b%2F%282a%29+ ALIGN=MIDDLE  ALT=\"+x+=+-b%2F%282a%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > when the equation<BR>\n" );
document.write( "has the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+f%28x%29+=+ax%5E2+%2B+bx+%2B+c+ ALIGN=MIDDLE  ALT=\"+f%28x%29+=+ax%5E2+%2B+bx+%2B+c+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+-3.8%2F%28-.002%29+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+-3.8%2F%28-.002%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-b%2F%282a%29+=+1900+ ALIGN=MIDDLE  ALT=\"+-b%2F%282a%29+=+1900+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When 1900 units are sold, the profit is a maximum<BR>\n" );
document.write( "here's the graph:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-300%2C+4000%2C+-300%2C+4000%2C+-.001x%5E2+%2B+3.8x+-+60%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-300%2C+4000%2C+-300%2C+4000%2C+-.001x%5E2+%2B+3.8x+-+60%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );