document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1932>Question 1932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am usually pretty good at word problems but this one is stumping me.  \r<BR>\n" );
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document.write( "Sharon's revenue $R on the sale of fruitcakes is determined by the formula R=50x-x^2.  Her cost $C for producing x fruitcakes is given by the formula C=2x+40. For what values of x is Sharon's profit positive?\r<BR>\n" );
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document.write( "Can you please help?? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #777 by </B><A HREF=/tutors/aboutme.mpl?userid=khwang><B>khwang(438)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=khwang><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=777\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Profit = R -C = 50x -x^2 - (2x+40)<BR>\n" );
document.write( "        = 48 x -x^2 - 80 <BR>\n" );
document.write( "        = -(x^2 - 48x + (24)^2) + 576 - 80<BR>\n" );
document.write( "        = - (x -24)^2 + 496<BR>\n" );
document.write( " >= 0<BR>\n" );
document.write( " (x -24)^2 < 496<BR>\n" );
document.write( " |x -24| < sqrt(496) = 22.27<BR>\n" );
document.write( "   -22.27 + 24  < x < 22.27 + 24<BR>\n" );
document.write( "     1.73 < x < 46.27<BR>\n" );
document.write( " Since x must be integers, so 2 <= x <= 46.\r<BR>\n" );
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document.write( " Answer: When producing x from 2 to 46 (2 <=x <= 46)cakes, <BR>\n" );
document.write( " the profit is positive.\r<BR>\n" );
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document.write( " Kenny </SPAN>\n" );
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