Find the marginal cost at a production level of 1000 units


If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) = C(x)/x. Consider the C(x) given below. Round your answers to the nearest cent.

C(x) = 81,000 + 100x + 6x3/2

(a) Find the total cost at a production level of 1000 units.

(b) Find the average cost at a production level of 1000 units.

(c) Find the marginal cost at a production level of 1000 units.

(d) Find the production level that will minimize the average cost

(e) What is the minimum average cost?

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Mathematics: Find the marginal cost at a production level of 1000 units
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