document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204672>Question 1204672</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      p=-1/5x+20 , 0<=p<=20<BR>\n" );
document.write( "A.express the revenue R as a function of x<BR>\n" );
document.write( "B. What is the revenue if 15 units are sold?<BR>\n" );
document.write( "C.what quantity x maximizes revenue? <BR>\n" );
document.write( "D. What price should the company charge to maximize revenue? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #841082 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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/cgi-bin/show-face.mpl?user=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=841082\">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      p=-1/5x+20 , 0<=p<=20<BR>\n" );
document.write( "A.express the revenue R as a function of x\r<BR>\n" );
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document.write( "R= p*x\r<BR>\n" );
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document.write( "R= ((-1/5)x+20)*x\r<BR>\n" );
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document.write( "R = (-1/5)x^2+20x\r<BR>\n" );
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document.write( "B. What is the revenue if 15 units are sold?\r<BR>\n" );
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document.write( "R =  (-1/5)x^2+20x\r<BR>\n" );
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document.write( "R=  (-1/5)*15^2+20*15<BR>\n" );
document.write( "R=$255\r<BR>\n" );
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document.write( "C.what quantity x maximizes revenue? \r<BR>\n" );
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document.write( "R =  (-1/5)x^2+20x<BR>\n" );
document.write( "dR/dx= -(2/5)*x+20<BR>\n" );
document.write( "To maximise set the derivative to 0<BR>\n" );
document.write( " -(2/5)*x+20=0<BR>\n" );
document.write( "2/5*x=20<BR>\n" );
document.write( "x=100/2<BR>\n" );
document.write( "x= 50\r<BR>\n" );
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document.write( "D. What price should the company charge to maximize revenue?<BR>\n" );
document.write( "Maximum units 50\r<BR>\n" );
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document.write( "P= -1/5*50+20<BR>\n" );
document.write( "-10+20<BR>\n" );
document.write( "=10<BR>\n" );
document.write( "The company should charge $10 to maximize revenue when selling 50 units.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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