SOLUTION: 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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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
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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.