document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=797881>Question 797881</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The price, p, in dollars, and the quantity, x, sold of a certain product obey the demand equation below.\r<BR>\n" );
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document.write( "    p = (-1/3)x + 100 text( , ) 0 <= x <= 300 \r<BR>\n" );
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document.write( "    (a) Express the revenue R as a function of x.<BR>\n" );
document.write( "    R(x) = \r<BR>\n" );
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document.write( "    (b) What is the revenue if 100 units are sold?<BR>\n" );
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document.write( "  \r<BR>\n" );
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document.write( "    (d) What quantity x maximizes revenue?<BR>\n" );
document.write( "    x = <BR>\n" );
document.write( "    What is the maximum revenue?<BR>\n" );
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document.write( "    (e) What price should the company charge to maximize revenue?<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 #481974 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=481974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The price, p, in dollars, and the quantity, x, sold of a certain product obey the demand equation below. <BR>\n" );
document.write( "p = (-1/3)x + 100 text( , ) 0 <= x <= 300 <BR>\n" );
document.write( "(a) Express the revenue R as a function of x.<BR>\n" );
document.write( "R(x) = x[(-1/3)x+100] = (-1/3)x^2 + 100x<BR>\n" );
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document.write( "(b) What is the revenue if 100 units are sold?<BR>\n" );
document.write( "R(100) = (-1/3)10,000 + 10,000<BR>\n" );
document.write( "R(100) = (2/3)10,000 = $6666.66<BR>\n" );
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document.write( "(d) What quantity x maximizes revenue?<BR>\n" );
document.write( "x = -b/(2a) = -100/(-2/3) = 150<BR>\n" );
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document.write( "What is the maximum revenue?<BR>\n" );
document.write( "Find R(150) = $7500.00<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( "(e) What price should the company charge to maximize revenue?<BR>\n" );
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