document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154436>Question 1154436</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The revenue function​ R(x) and the cost function​ C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even.\r<BR>\n" );
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document.write( "R(x)=200x-x^2; C(x)=75x+2100; 0 less than or equal to x less than or equal to 100. \r<BR>\n" );
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document.write( "The manufacturer must produce ___ units to break even.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776855 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=776855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "R(x)=200x-x^2; C(x)=75x+2100;\r<BR>\n" );
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document.write( " (0 less than or equal to x less than or equal to 100.) \r<BR>\n" );
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document.write( "for breakeven R(x)=C(x)\r<BR>\n" );
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document.write( "200x-x^2=75x+2100\r<BR>\n" );
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document.write( "simplify\r<BR>\n" );
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document.write( "x^2-175x +3100 =0\r<BR>\n" );
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document.write( "(x-20)(x-155)=0\r<BR>\n" );
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document.write( "x=20 or 155\r<BR>\n" );
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document.write( "but x cannot be grater than 100\r<BR>\n" );
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document.write( "so x=20\r<BR>\n" );
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