document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142726>Question 1142726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> **Solve using calculus optimization**\r<BR>\n" );
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document.write( "A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is\r<BR>\n" );
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document.write( "C(x)= 500,000 + 80x + 0.003x^2\r<BR>\n" );
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document.write( "The company can produce no more than 30,000 units during a given time period.  How <BR>\n" );
document.write( "many units of the chemical product should be manufactured and sold to maximize profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763458 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A company that produces chemicals used in manufacturing sells a certain product for $200 per unit. The total production cost for the product is\r<BR>\n" );
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document.write( "C(x)= 500,000 + 80x + 0.003x^2\r<BR>\n" );
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document.write( "The company can produce no more than 30,000 units during a given time period.  How <BR>\n" );
document.write( "many units of the chemical product should be manufactured and sold to maximize profit?<BR>\n" );
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document.write( "It's a parabola with a minimum.\r<BR>\n" );
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document.write( "C(x)= 500,000 + 80x + 0.003x^2<BR>\n" );
document.write( "C'(x) = 80 + 0.006x = 0<BR>\n" );
document.write( "x = 80/0/006 = 13,333 units<BR>\n" );
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