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?