document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95509>Question 95509</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The last question that i have is a word problem <BR>\n" );
document.write( "The relationship between the number (n) of widgets a company sells each week and the price of (p) of each widget is given by the equation n=1800-100p and the gross revenue (R) from sales of widgets is calculated by R=np.  Determine the maximum possible revenue and the optimum price that will produce that revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69500 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=69500\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The relationship between the number (n) of widgets a company sells each week and the price of (p) of each widget is given by the equation n=1800-100p and the gross revenue (R) from sales of widgets is calculated by R=np. Determine the maximum possible revenue and the optimum price that will produce that revenue?<BR>\n" );
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document.write( "Revenue = np<BR>\n" );
document.write( "= (1800-100p)p<BR>\n" );
document.write( "= 1800p - 100p^2<BR>\n" );
document.write( "This is a quadratic with a = -100, b = 1800<BR>\n" );
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document.write( "The maximum Revenue occurs at p = -b/(2a) <BR>\n" );
document.write( "p = -1800/-200 = 9 (this price will give the maximum Revenue)<BR>\n" );
document.write( "maximum revenue will be R(9) = 1800*9-100*9^2<BR>\n" );
document.write( "R(9) = 16200-8100 = $8100.00<BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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