Using the graph shown describe the shape of the graph of

Question

Production costs:-

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,

c'(x) = 3x² - 24x + 53

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 0<=x<=8. for [Check the shape of the graph relative to the analysis in part (A).]

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