document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1042559>Question 1042559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculators are sold to students for 1000 dollars each. Five hundred students are willing to buy them at that price. For every 20 dollar increase in price, there are 30 fewer students willing to buy the calculator.\r<BR>\n" );
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document.write( "a. What selling price will produce the maximum revenue and what will be the maximum revenue?<BR>\n" );
document.write( "b. Show and illustrate the table of values, equation and graph for the revenue function.<BR>\n" );
document.write( "c.State the domain, range, and x-intercepts of the graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #657710 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=657710\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Calculators are sold to students for 1000 dollars each. Five hundred students are willing to buy them at that price. For every 20 dollar increase in price, there are 30 fewer students willing to buy the calculator.<BR>\n" );
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document.write( "selling price:: 1000+20x<BR>\n" );
document.write( "# of student buyers:: 500-30x<BR>\n" );
document.write( "Revenue = price*# of buyers = (1000+20x)(500-30x)<BR>\n" );
document.write( "R(x) = -600x^2 - 20000x + 500000<BR>\n" );
document.write( "a. What selling price will produce the maximum revenue and what will be the maximum revenue?<BR>\n" );
document.write( "R'(x) = -1200x - 20000<BR>\n" );
document.write( "Solve:: R'(x) = 0\r<BR>\n" );
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document.write( "-1200x - 20000 = 0<BR>\n" );
document.write( "-12x  = 200<BR>\n" );
document.write( "x = -16 2/3<BR>\n" );
document.write( "Ans: 1000+20(-16 2/3) = $666.80<BR>\n" );
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document.write( "b. Show and illustrate the table of values, equation and graph for the revenue function.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C400%2C-50%2C50%2C-10000%2C500000%2C-600x%5E2+-+20000x+%2B+500000%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C400%2C-50%2C50%2C-10000%2C500000%2C-600x%5E2+-+20000x+%2B+500000%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c.State the domain, range, and x-intercepts of the graph.<BR>\n" );
document.write( "Range:: [0,666666.67]<BR>\n" );
document.write( "X-intercepts:: [-50,16 2/3] <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "---------------- </SPAN>\n" );
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