IfC(x) is the cost of producingxunits of a commodity, then the average cost per unit isc(x) =C(x)/x. Consider the cost functionC(x) given below. (Round your answers to the nearest cent.)C(x) =2,000+190x+4x^3/2

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

$

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

$per unit

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

$per unit

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

units

(e) What is the minimum average cost?

$per unit