document.write( "Question 61666: The cost c(x) in dollars of producing x calculators is given c(x)=16000+120x and the revenue R(x) is R(x)=700x-x^2/50. Find the profit P(x), where P(x)=R(x)-C(x), when 500 calculators are produced and sold. \n" ); document.write( "
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The cost of producing 500 calculators is given by the cost formula
\n" ); document.write( "c(x)=16000+120x Substitute x = 500 into this formula.\r
\n" ); document.write( "\n" ); document.write( "Cost = 16000 + 120 * 500
\n" ); document.write( "= $76 000\r
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\n" ); document.write( "\n" ); document.write( "The revenue gained from selling the 500 calculators is given by
\n" ); document.write( "R(x)=700x-x^2/50. Substitute x = 500 into this formula.\r
\n" ); document.write( "\n" ); document.write( "Revenue = 700*500 - 500^2/50
\n" ); document.write( "=$345 000\r
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\n" ); document.write( "\n" ); document.write( "The profit formula is P(x)=R(x)-C(x)
\n" ); document.write( "Profit = $345 000 - $76 000
\n" ); document.write( "=$269 000\r
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\n" ); document.write( "\n" ); document.write( "(Note that if only a few calculators were produced then the cost function would be larger than the revenue function and the profit would be negative. This would mean that a loss had been made.)
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