Question

Suppose that the average cost, in dollars, of producing a shipment of a certain product is

C(x) = 4,000x +

36,000

x

,    x > 0

where x is the number of machines used in the production process.

(a)

Find

C'(x).

C'(x) =

Given the domain of

x > 0,

find the critical value of

C(x).

x =

The critical value is a  ---Select--- relative minimum relative maximum .

(b)

Over what interval does the average cost decrease? (Enter your answer using interval notation.)

(c)

Over what interval does the average cost increase? (Enter your answer using interval notation.)

Answer 1

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