Find the price that will maximize profit for the demand and cost functions, where p is the price, x is the number of units, and C is the cost.
Demand Function: p = 61 - 0.1x
Cost Function: C = 31x + 400
$10,000
x per unit
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LARAPCALC103.5.502.XP
A commodity has a demand function modeled by p = 35 - 0.5x, and a total cost function modeled by C = 7x + 34.
(a) What price yields a maximum profit? $ per unit
(b) When the profit is maximized, what is the average cost per unit? (Round your answer to two decimal places.) $
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LARAPCALC103.5.018.
Consider the following: P = -0.1s^3 + 6s^2 + 400
Find the amount s of advertising (in thousands of dollars) that maximizes the profit P (in thousands of dollars). S = 20x
Find the point of diminishing returns (s, P) = (20, 2000)
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