SOLUTION: 8. Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.
C(x) = 0.0005x^3 - 0.012x^2 + 100x
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Question 1187970: 8. Let C(x) be the cost function and R(x) the revenue function. Compute the marginal cost, marginal revenue, and the marginal profit functions.
C(x) = 0.0005x^3 - 0.012x^2 + 100x + 30,000
R(x) = 450x
Answer by Solver92311(821) (Show Source): You can put this solution on YOUR website!
The marginal cost is the first derivative of the total cost function.
The marginal revenue is the first derivative of the total revenue function.
The total profit function is the total revenue function minus the total cost function.
The marginal profit function is the first derivative of the total profit function.
Since all of these derivatives are simply repeated applications of the power rule, I'll let you do the scut work.
John
My calculator said it, I believe it, that settles it
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