document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=920574>Question 920574</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Rite-Cut riding lawnmowers obey the demand equation p= -1/20x+1070. The cost of producing x lawnmowers is given by the function C(x)= 110x+6,000. <BR>\n" );
document.write( "a. Express the revenue R as a function of x. Simplify answer, do not factor.<BR>\n" );
document.write( "b. Express the profit P as a function of x. Simplify answer, do not factor<BR>\n" );
document.write( "c. Find the value of x that maximizes profit. What is the maximum profit?<BR>\n" );
document.write( "d. What price should be charged in order to maximize profit?<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 #558448 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=558448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p= -1/20x+1070,  C(x)= 110x+6,000<BR>\n" );
document.write( "a) R  = px = (-1/20)x^2 + 1070x<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "b) P = (-1/20)x^2 + 1070x - 110x - 6000<BR>\n" );
document.write( "P = (-1/20)x^2 + 960x - 6000<BR>\n" );
document.write( "......<BR>\n" );
document.write( "c) P = (-.05)(x - 9600)^2  + $4,602,000<BR>\n" );
document.write( "x = 9600 maximizes profit to $4,602,000<BR>\n" );
document.write( ".......<BR>\n" );
document.write( "d) p= -1/20(9600)+1070 = $590 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );