Consider the following cost function. a. Find the average cost and marginal cost functions b. Determine the average and marginal cost when x = a c. Interpret the values obtained in part (b) C(x) = 0.02x3 + 0.2x2+ 30x+ 110, Osx= 1500, a =500 a. The average cost function is C(x) = The marginal cost is function is C'(x) = b. The average cost when x = a is $ . (Round to two decimal places as needed.) The marginal cost when x = a is $ (Round to two decimal places as needed.) c. Choose the correct interpretation of the average cost when x = a. O A. The cost of producing the 501st item is about $15,230 00 O B. The cost of producing 500 items is about $3,730.22 O C. The cost of producing the 501st item is about $1,673 04. O D. The average cost per item is about $5, 130.22 when 500 items are produced Choose the correct interpretation of the marginal cost when x = a. A. The cost of producing 501 items is about $373 04 O B. The cost of producing 500 items is about $3,730 22 O C. The cost of producing the 501st item is about $15,230.00. O D. The average cost per item is about $5,130.22 when 500 items are produced