Question

The DeWitt Company has found that the rate of change of its average cost for product is C'(x)=(1/4)-(100/x^2)

where x is the number of units and cost is in dollars. The average cost of producing 20 units is $40.00.

(a) Find the average cost function for the product.

(b) Find the average cost of 50 units of the product.

Step 1

Given information:

The DeWitt Company has found that the rate of change of its average cost for product is

Step 2

Calculation:

Integrate the function C\\\'(x) with respect to x, we get

Step 3

It is given that the average cost of producing 20 units ...

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