document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980150>Question 980150</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The price p and quantity x sold of a small flat screen television set obeys the demand equation below. <BR>\n" );
document.write( " p= - .14x+280 <BR>\n" );
document.write( " a. How much should be charged for the television set if there are 60 television sets in stock? Round to nearest cent <BR>\n" );
document.write( " b. What quantity x will maximize revenue? What is the maximum revenue? <BR>\n" );
document.write( " c. What price should be charged in order to maximize revenue? <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601369 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The price p and quantity x sold of a small flat screen television set obeys the demand equation below.<BR>\n" );
document.write( "p= - .14x+280<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. How much should be charged for the television set if there are 60 television sets in stock? Round to nearest cent<BR>\n" );
document.write( "p = -.14(60) + 280<BR>\n" );
document.write( "p = -8.4 + 280<BR>\n" );
document.write( "p = $271.60<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. What quantity x will maximize revenue?<BR>\n" );
document.write( "Rev = qty * price<BR>\n" );
document.write( "R(x) = x(-.14x+280)<BR>\n" );
document.write( "R(x) -.14x^2 + 280x<BR>\n" );
document.write( "The axis of symmetry is the qty for max revenue;x = -b/(2a)<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-280%29%2F%282%2A-.14%29 ALIGN=MIDDLE  ALT=\"%28-280%29%2F%282%2A-.14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = + 1000 tv's for max rev<BR>\n" );
document.write( ":<BR>\n" );
document.write( " What is the maximum revenue?<BR>\n" );
document.write( "rev = -.14(1000^2) + 280(1000)<BR>\n" );
document.write( "rev = -140000 + 280000<BR>\n" );
document.write( "rev = $140,000<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c. What price should be charged in order to maximize revenue? <BR>\n" );
document.write( "p = -.14x + 280<BR>\n" );
document.write( "p = -.14(1000) + 280<BR>\n" );
document.write( "p = -140 + 280<BR>\n" );
document.write( "p = $140 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );