Calculus Optimization question?

Posted on 2016-11-17 18:39:00 in Math by MARIN

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

C(x) = 24,000 + 240x + 6x3/2 

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

2) Find the production level that will minimize the average cost. 

3) What is the minimum average cost?

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