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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 on the right. Complete parts (A) through (C) below. D (A) Using the graph shown, describe the shape of the graph of the cost function C(x) as x increases from 0 to 4,000 bottles per month. Where is the cost function C(x) increasing and decreasing? C(x) is increasing from x=0to x=4. C(x) is decreasing from x =0 to x =2 and is increasing from x=2 to x=4. C(x) is decreasing from x=0 to x=4. O 0w p C(x) is increasing from x =0 to x =2 and is decreasing from x=2 to x=4. Describe the concavity of C(x). Choose the correct answer below. C(x) is concave upward from x =0 to x=4. C(x) is concave upward from x =0 to x =2 and is concave downward from x=2 to x=4. C(x) is concave downward from x=0 to x =4. O 0w p C(x) is concave downward from x =0 to x =2 and is concave upward from x=2 to x=4. Thousand dollars/month 20 0 0 Thousand bottles X 4 L2 The graph of the marginal cost function from the production of x thousand bottles of sunscreen per C'(x) o month [where cost C(x) is in thousands of dollars per month] is given in the figure on the right. 40 Complete parts (A) through (C) below. Q @ N\\ B 20 e 3 = b 0 2 4 Thousand bottles Find the inflection point(s) of C(x). Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The inflection point(s) of C(x) is/are at x = (Use a comma to separate answers as needed.) () B. There are no inflection points of C(x). (B) Given the equation of the marginal cost function, C'(x) = 6x2 - 24x + 31, find the cost function if monthly fixed costs at 0 output are $20,000. Clx)= What is the cost of manufacturing 2,000 bottles per month? The cost of manufacturing 2,000 bottles per month is $_ (Type an integer or a decimal.) What is the cost of manufacturing 4,000 bottles per month? The cost of manufacturing 4,000 bottles per month is $ (Type an integer or a decimal.) (C) Graph the cost function for 0