document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172416>Question 1172416</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost of manufacturing lawnmowers is $12,320 in overhead costs and $396 per lawnmower in production costs. Marketing studies show that the best selling price is $452 per lawnmower. Find the cost function, C(x), the revenue function, R(x), and the profit function, P(x), that model this scenario for x lawnmowers manufactured and sold.\r<BR>\n" );
document.write( "\n" );
document.write( "Can you help me find these? Thanks for helping me out!\r<BR>\n" );
document.write( "\n" );
document.write( "1. What's the cost function?<BR>\n" );
document.write( "2. C(x)?<BR>\n" );
document.write( "3. What's the revenue function?<BR>\n" );
document.write( "4. R(x)?<BR>\n" );
document.write( "5. What's the profit function?<BR>\n" );
document.write( "6. P(x)?<BR>\n" );
document.write( "7. And the model this scenario for x lawnmowers manufactured and sold? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797436 by </B><A HREF=/tutors/aboutme.mpl?userid=Solver92311><B>Solver92311(821)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Solver92311><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=Solver92311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The cost function is the fixed cost added to the product of the variable cost and the number of items manufactured.  In other words, the overhead plus x times the production cost.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The revenue function is the sale price times the number sold.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The profit function is the revenue function minus the cost function.  If the number manufactured is different than the number sold, then the profit function is a two-variable function.  But since your problem statement implies that the number manufactured is equal to the number sold, it is a single-variable function in x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=Solver92311&illustration_name=darwinfish.jpg\">\r<BR>\n" );
document.write( "\n" );
document.write( "From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> <BR>\n" );
document.write( "I > Ø<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );