document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=265844>Question 265844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem:\r<BR>\n" );
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document.write( "The cost C for a company to produce, and the revenue R from teh sale of x units of a very expensive computer microprocessor are given by<BR>\n" );
document.write( "C=17.8x+120, R=33.7x-0.5x^2 .<BR>\n" );
document.write( "How many microprocessors should the company produce for the venture to be profitable (R>C)?<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 #195466 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=195466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The cost C for a company to produce, and the revenue R from teh sale of x units of a very expensive computer microprocessor are given by<BR>\n" );
document.write( "C=17.8x+120, <BR>\n" );
document.write( "R=33.7x-0.5x^2 .<BR>\n" );
document.write( "How many microprocessors should the company produce for the venture to be profitable (R>C)?<BR>\n" );
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document.write( "33.7x-0.5x^2 > 17.8x+120<BR>\n" );
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document.write( "15.9x - 0.5x^2 > 1200<BR>\n" );
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document.write( "Multiply thru by 10 to get rid of the decimals:<BR>\n" );
document.write( "159x - 5x^2 > 1200<BR>\n" );
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document.write( "Rearrange <BR>\n" );
document.write( "5x^2 < 159x - 1200<BR>\n" );
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document.write( "I graphed the left side and the right side to see where left < right<BR>\n" );
document.write( "12.32 < x < 19.48<BR>\n" );
document.write( "Rounding to whole numbers:<BR>\n" );
document.write( "13 < x < 19<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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