document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243352>Question 243352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A manufacturer finds that the revenue generated by selling x units of a certain commodity is given by the function R(x)=264x-0.6x^2 where the revenue R(x) is measured in dollars. What is the maximum revenue, and how many units should be manufactured to obtain this maximum? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178308 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178308\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> R(x)=264x-0.6x^2<BR>\n" );
document.write( "y=-0.6x^2+264x [y=ax^2+bx+c] a=-0.6, b=264, c=0 in this equation.<BR>\n" );
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document.write( "Maximum at x=-b/2a<BR>\n" );
document.write( "=-264/-1.2<BR>\n" );
document.write( "=220 units to manufacture to obtain max revenue.<BR>\n" );
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document.write( "y=-0.6*220^2+264*220<BR>\n" );
document.write( "=-29040+58080<BR>\n" );
document.write( "=$29040. Max revenue.<BR>\n" );
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document.write( "Ed<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-250%2C500%2C-40000%2C40000%2C264x-0.6x%5E2%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-250%2C500%2C-40000%2C40000%2C264x-0.6x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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