document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=795092>Question 795092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand equation for a product is given by x=5000-5p, where x is the number of units produced and sold at price p(in dollars) per unit. The cost(in dollars) of producing x units is given by C(x)=4x+12,000. Express each of the following as a function of price.<BR>\n" );
document.write( "a. Cost<BR>\n" );
document.write( "b. Revenue<BR>\n" );
document.write( "c. Profit\r<BR>\n" );
document.write( "\n" );
document.write( "So I was doing my homework and I came across this problem and I honestly have no idea what it is asking for, and have no clue how to solve it. If you could please help me solve it I would really appreciate it.(It's the last problem I have to do on my homework) Thank You </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #480933 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=480933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The demand equation for a product is given by x=5000-5p, where x is the number of units produced and sold at price p(in dollars) per unit. <BR>\n" );
document.write( "The cost(in dollars) of producing x units is given by C(x)=4x+12,000.<BR>\n" );
document.write( " Express each of the following as a function of price.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a. Cost<BR>\n" );
document.write( "Cost equation is given as: C(x)=4x+12,000.<BR>\n" );
document.write( " replace x with (5000-5p)<BR>\n" );
document.write( "C(p) = 4(5000-5p)+ 12000<BR>\n" );
document.write( "C(p) = 20000 - 20p + 12000<BR>\n" );
document.write( "C(p) = -20p + 32000<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b. Revenue<BR>\n" );
document.write( "Rev = Units sold * price<BR>\n" );
document.write( "R(p) = x * p<BR>\n" );
document.write( "replace x with (5000-5p)<BR>\n" );
document.write( "R(p) = p(5000-5p)<BR>\n" );
document.write( "R(p) = -5p^2 + 5000p<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c. Profit <BR>\n" );
document.write( "P = Rev - Cost<BR>\n" );
document.write( "P(p) = -5p^2 + 5000p - (-20p + 32000)<BR>\n" );
document.write( "P(p) = -5p^2 + 5000p + 20p - 32000<BR>\n" );
document.write( "P(p) = -5p^2 + 5020p - 32000 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );