  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.

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 help_outlineImage TranscriptioncloseT00 jC'(x) 4 1 C(x)x 100 +C 4 fullscreen
Step 3

It is given that the average cost of producing 20 units ... help_outlineImage Transcriptionclose100 +C C(x) 4 100 +C (20) C(20) (20)+ 40 5+5+C C 40-10 =30 fullscreen

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