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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?
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