document.write( "Question 334316: Help is very, very much appreciated! I need to understand this problem but do not want just the answer, please. I would like to understand the concept and would appreciate learning how to solve the following problem. \r
\n" ); document.write( "\n" ); document.write( "A company sells an item for x dollars each. The monthly revenue for this model is given by the formula R(x)=-0.08x^2 + 300x. Revenue is the product of the price x and the demand (quantity sold). I need to factor out the price on the right-hand side of the formula. Then, write a formula D(x) for the monthly demand. and find D(3000).
\n" ); document.write( "Thank you, kindly.
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Algebra.Com's Answer #239759 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A company sells an item for x dollars each.
\n" ); document.write( " The monthly revenue for this model is given by the formula R(x)=-0.08x^2 + 300x.
\n" ); document.write( " Revenue is the product of the price x and the demand (quantity sold).
\n" ); document.write( " I need to factor out the price on the right-hand side of the formula.
\n" ); document.write( ":
\n" ); document.write( "We know the price = x, therefore:
\n" ); document.write( ":
\n" ); document.write( "R(x) = -0.08x^2 + 300x
\n" ); document.write( "Factor out x
\n" ); document.write( "R(x) = x(-0.08x + 300)
\n" ); document.write( ":
\n" ); document.write( "\"write a formula D(x) for the monthly demand.\"
\n" ); document.write( "The qty sold (Demand) will be the total (Revenue) divided by the price (x)
\n" ); document.write( "therefore
\n" ); document.write( "D(x) = \"%28x%28-0.08x+%2B+300%29%29%2Fx\"
\n" ); document.write( "Cancel x
\n" ); document.write( "D(x) = -0.08x + 300 is the demand function
\n" ); document.write( ":
\n" ); document.write( "\"and find D(3000)\".
\n" ); document.write( "x = 3000, therefore
\n" ); document.write( "D(3000) = -0.08(3000) + 300
\n" ); document.write( "D(3000) = -240 + 300
\n" ); document.write( "D(300) = 60 is the demand
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\n" ); document.write( "Did this shed some light on your understanding of this?? \r
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