If Green Acres Turf Farm's total cost of producing acres of sod is TC = 4Q2 + 25Q + 30, the marginal cost of producing the 20th acre of sod is

A) $30.
B) $25.
C) $105.
D) $185.
E) $345.

Question

If Green Acres Turf Farm's total cost of producing acres of sod is TC = 4Q2 + 25Q + 30, the marginal cost of producing the 20th acre of sod isA) $30.B) $25.C) $105.D) $185.E) $345.

Ranee Jackson · Accepted Answer

Final Answer : D, Explanation :  The marginal cost (MC) is the derivative of the total cost (TC) function with respect to quantity (Q). The derivative of TC = 4Q^2 + 25Q + 30 is MC = 8Q + 25. Plugging Q = 20 into the MC equation gives MC = 8(20) + 25 = 185.

If Green Acres Turf Farm's total cost of producing acres of sod is TC = 4Q2 + 25Q + 30, the marginal cost of producing the 20th acre of sod is

A) $30.
B) $25.
C) $105.
D) $185.
E) $345.

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