document.write( "Question 964513: You sell widgets for $10 and have 500 customers. For every .25 cents you raise the price you will lose 2 customers. At what selling price would you have the most revenue and what would that revenue and selling price be ? Also how many customers would you have ? \n" ); document.write( "

Algebra.Com's Answer #589421 by stanbon(75887) $\"\"$ $\"About$

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You sell widgets for $10 and have 500 customers. For every .25 cents you raise the price you will lose 2 customers. At what selling price would you have the most revenue and what would that revenue and selling price be ? Also how many customers would you have ?
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\n" ); document.write( "Revenue = (# of units sold)(price per unit)
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\n" ); document.write( "Equation:
\n" ); document.write( "R = (500-2x)(10+0.25x)
\n" ); document.write( "R = 5000+125x -20x -0.5x^2
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\n" ); document.write( "R = (-1/2)x^2 +105x + 5000
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\n" ); document.write( "Vertex:: (105,10512.50)
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\n" ); document.write( "At what selling price would you have the most revenue?
\n" ); document.write( "Ans: $10.00+0.25*105 = $36.25
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\n" ); document.write( " and what would that revenue be?
\n" ); document.write( "Ans: $10512.50
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\n" ); document.write( " Also how many customers would you have ?
\n" ); document.write( "Ans: 500 - 2*105 = 290
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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