Question 279254
In business, profit is the difference between revenue and cost. 
Find the maximum profit of the unit sold in order to yield the maximum profit for: 
R(x)=20x-0.1x^2, C(x)=4x+2
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Profit = 20x-0.1x^2 - (4x+2)
Profit = -0.1x^2 + 16x -2
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You have a quadratic with a = -0.1 ; b = 16
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Maximum occurs when x = -b/2a = -16/(2*-0.1) = -16/-0.2 = 80
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Maximum Profit = P(80) = -0.1(80^2) + 16(80) -2 = $638.00
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Cheers,
Stan H.