document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1154483>Question 1154483</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-2x^2  C(x)= -x^2+25x+3100  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 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #776930 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=776930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For break even \r<BR>\n" );
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document.write( "R(x)= C(x)\r<BR>\n" );
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document.write( "Equate and simplify.\r<BR>\n" );
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document.write( "200x-2x^2 = -x^2+25x+3100 \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 x=155\r<BR>\n" );
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document.write( "x<100\r<BR>\n" );
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document.write( "therefore x=20\r<BR>\n" );
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document.write( "The manufacturer must produce 20 units to break even </SPAN>\n" );
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