Marginal average cost. In Section 1.6 we defined the average cost of producing x units of a product in terms of the total cost C ( x ) = b y A ( x ) = C ( x ) / x Find a general expression for marginal average cost A ' ( x ) .
Marginal average cost. In Section 1.6 we defined the average cost of producing x units of a product in terms of the total cost C ( x ) = b y A ( x ) = C ( x ) / x Find a general expression for marginal average cost A ' ( x ) .
Solution Summary: The author explains how to calculate the general expression for marginal average cost, Aprime
Marginal average cost. In Section 1.6 we defined the average cost of producing x units of a product in terms of the total cost
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Find a general expression for marginal average cost
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Average Cost. A cost function is given by c(x)= 5x^2 +2
Find the marginal cost function.
2. Find the derivative of the average cost function.
Hint: The average cost function is c(x)= c(x)/x
3.Find the marginal cost for x = 10. Write a sentence interpreting your result.
4. Graph MC(x), C'(x), C(x) and for x between 0 and 4 and the vertical axis between x = -20 and x = 50. Make sure to label all of the functions.
5. Make some observations about the relationships between the graphs. Pay close attention to where the graphs intersect.
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
For that cost function C(x)= 40 + x -1/2x^2, use the marginal average cost when x=2 to estimate the average when x=3
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