document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204208>Question 204208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The profit function for a computer company is given by P(x) = -x^2+ 25x - 24 where x is the number of units produced (in thousands) and the profit is in thousand of dollars.<BR>\n" );
document.write( "a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit.\r<BR>\n" );
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document.write( "(thousands of) units =?\r<BR>\n" );
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document.write( "maximum profit = ? thousand dollars<BR>\n" );
document.write( "b) Determine how many units should be produced for a profit of at least 40 thousand.\r<BR>\n" );
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document.write( "more than ?(thousands of) units\r<BR>\n" );
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document.write( "less than ?(thousands of) units \r<BR>\n" );
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document.write( "(the question marks are where I need answers)<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 #154176 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=154176\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The profit function for a computer company is given by P(x) = -x^2+ 25x - 24 where x is the number of units produced (in thousands) and the profit is in thousand of dollars.<BR>\n" );
document.write( "a) Determine how many (thousands of) units must be produced to yield maximum profit. Determine the maximum profit.<BR>\n" );
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document.write( "Maximum profit occurs when x = -b/2a = -25/(2*-1) = 12.5<BR>\n" );
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document.write( "(thousands of) units =12.5  <BR>\n" );
document.write( "maximum profit = -12.5^2+25*12.5 - 24 = 132.5 thousand dollars<BR>\n" );
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document.write( "b) Determine how many units should be produced for a profit of at least 40 thousand.<BR>\n" );
document.write( "-x^2+25x - 24 >= 40<BR>\n" );
document.write( "-x^2+25x-64 = 0<BR>\n" );
document.write( " x = [-25 +- sqrt(625 - 4*-1*-64)]/(-2)<BR>\n" );
document.write( "x = [-25 +- sqrt(369)]/-2<BR>\n" );
document.write( "x = [-25 +- 19.209]/-2<BR>\n" );
document.write( "x = 22.1 or x = 2.89<BR>\n" );
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document.write( "more than 2.89(thousands of) units <BR>\n" );
document.write( "less than 22.1(thousands of) units <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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