document.write( "Question 461947: Please help me to solve this problem. The demand function for an electronics company's laptop computer line is p = 2400 - 6q , where p is the price (in dollars) per unit when q units are demanded (per week) by consumers. Find the level of production that will maximizes the manufacturer's total revenue an determine this revenue. \n" ); document.write( "

Algebra.Com's Answer #316745 by stanbon(75887) $\"\"$ $\"About$

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Please help me to solve this problem. The demand function for an electronics company's laptop computer line is p = 2400 - 6q , where p is the price (in dollars) per unit when q units are demanded (per week) by consumers. Find the level of production that will maximizes the manufacturer's total revenue an determine this revenue.
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\n" ); document.write( "Revenue = price*units sold
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\n" ); document.write( "R(p) = (2400-6q)*q
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\n" ); document.write( "R(p) = 2400q - 6q^2
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\n" ); document.write( "max occurs when q = -b/(2a) = -2400/(2*-6) = 200
\n" ); document.write( "------
\n" ); document.write( "Maximum Revenue occurs when production = 200 units are produced per week
\n" ); document.write( "---
\n" ); document.write( "The maximum Revenue = R(200) = 2400*200 - 6*200^2 = $240,000
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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