document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598211>Question 598211</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost, C, of a manufacturing and selling x units of a product is C = 23x+73, and the corresponding revenue, R, is= x^2-35. Find the break-even value of x?\r<BR>\n" );
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document.write( "A. 4<BR>\n" );
document.write( "B. 31<BR>\n" );
document.write( "C. 31 and 4<BR>\n" );
document.write( "D. 27 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378516 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=378516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost, C, of a manufacturing and selling x units of a product is C = 23x+73, and the corresponding revenue, R, is= x^2-35. Find the break-even value of x? <BR>\n" );
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document.write( "Break-even point is when <BR>\n" );
document.write( "C=R<BR>\n" );
document.write( "23x+73 = x^2-35<BR>\n" );
document.write( "73 = x^2-23x-35<BR>\n" );
document.write( "0 = x^2-23x-108<BR>\n" );
document.write( "0 = (x+4)(x-27)<BR>\n" );
document.write( "x = {-4, 27}<BR>\n" );
document.write( "Throw out the negative solution (extraneous) leaving:<BR>\n" );
document.write( "x = 27 units </SPAN>\n" );
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