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) = 0.02x^3 + 0.2x^2 + 30x + 130, 0 <= x <= 1500, a = 800
a. The average cost function is Cbar(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.
A. The cost of producing the 801st item is about $38,750.00.
B. The average cost per item is about $12,990.16 when 800 items are produced.
C. The cost of producing 800 items is about $11,690.16.
D. The cost of producing the 801st item is about $1,630.78.