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) = 16,000 + 210x + 4x3/2

(a)

Find the total cost (in dollars) at a production level of 1,000 units.

$

(b)

Find the average cost (in dollars per unit) at a production level of 1,000 units.

$ per unit

(c)

Find the marginal cost (in dollars per unit) at a production level of 1,000 units.

$ per unit

(d)

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

units

(e)

What is the minimum average cost (in dollars per unit)?

$ per unit