The graph of the marginal cost function from the production of x thousand bottles of sunscreen per month [where cost C(x) is in thousands of dollars per month] is given in the figure.

(A) Using the graph shown, describe the shape of the graph of the cost function C(x) as x increases from 0 to 8,000 bottles per month.

(B) Given the equation of the marginal cost function, 

Find the cost function if monthly fixed costs at 0 output are $30,000. What is the cost of manufacturing 4,000 bottles per month? 8,000 bottles per month?

(C) Graph the cost function for 0 ≤ x ≤ 8.

(D) Why do you think that the graph of the cost function is steeper at both ends than in the middle? 

Transcribed Image Text:

Thousand dollars/month C'(x) 60- 30+ Thousand bottles 8 ·x