document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=998203>Question 998203</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The demand equation for a certain product is given by p=108-0.001x, where p is the unit price(in dollars) of the product and x is the number of units produced and sold. The cost equation for the product is C=85x+150,000, where C is the total cost(in dollars) and x is the number of products produced and sold. The revenue equation for the product is R = xp, where R is the total revenue(in dallars), p is the unit price (in dallars), and x is number of products produced and sold.\r<BR>\n" );
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document.write( "1. what is maximum profit P?<BR>\n" );
document.write( "2. what is the unit price p that produces the maximum profit P?<BR>\n" );
document.write( "3.if a pfofit of 9 million is possible, what is unit price P?<BR>\n" );
document.write( " if a profit of 9 milloin is not possible, explain why?<BR>\n" );
document.write( "4. what is the minimum unit rice P that can be used so that the company does not lose money? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #616036 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=616036\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ C(x)\ =\ 85x\ +\ 100,000\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ R(x)\ =\ x(108\ -\ 0.001x)\ =\ 108x\ -\ 0.001x^2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(x)\ =\ R(x)\ -\ C(x)\">\r<BR>\n" );
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document.write( "Substitute the functions, collect like terms, and then use the formula for the vertex of a parabola or take the first derivative to find the local maximum of the function.\r<BR>\n" );
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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\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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