document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1195006>Question 1195006</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I go about sketching a graph for the total cost function, revenue function, and profit function:\r<BR>\n" );
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document.write( "C(x)=0.000002x^3-0.03x^2+400x+80,000\r<BR>\n" );
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document.write( "R(x)=-0.05x^2+600x\r<BR>\n" );
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document.write( "p(x)=-0.000002x^3-0.02x^2+200x-80,000 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827338 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52797)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827338\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "There are many ways to do it.\r<BR>\n" );
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document.write( "For example, a traditional way people use just for hundreds years is to sketch the polynomial curves point by point, <BR>\n" );
document.write( "using tables of values, graph paper and pen / or pencil.\r<BR>\n" );
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document.write( "Another, more modern way, is to go to web-sites which have plotting tools and use them.\r<BR>\n" );
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document.write( "For example, go to web-site www.desmos.com/calculator and use its free of charge  plotting tool.\r<BR>\n" );
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document.write( "All you need is to PRINT the formulas of your functions there, and you will get the curves <BR>\n" );
document.write( "plotted in the next second.\r<BR>\n" );
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document.write( "Try it . . .\r<BR>\n" );
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document.write( "Regarding the revenue function R(x) = -0.05x^2+600x,  from the formula you may conclude\r\n" );
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document.write( "that it is a downward parabola with the x-interception points x= 0 and x= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600%2F0.05 ALIGN=MIDDLE  ALT=\"600%2F0.05\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 12000\r\n" );
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document.write( "and the symmetry line  x= 6000  half-way between the x-interceptions.\r\n" );
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document.write( "The maximum of this function is at x= 6000, and you can calculate the maximum value (y-coordinate of the vertex)\r\n" );
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document.write( "by substituting x= 6000 into the formula for R(x).\r\n" );
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document.write( " </SPAN>\n" );
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