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
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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).
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document.write( "Thank you, kindly. \n" );
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Algebra.Com's Answer #239759 by ankor@dixie-net.com(22740) 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) = \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 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Did this shed some light on your understanding of this?? \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |