Refer to the Following:
a Firm Estimates Its Long-Run Production $$Q = - 0.0075 K ^ { - 3 } L ^ { 3 } + 12 K ^ { 2 } L ^ { 2 }$$

Multiple Choice

Refer to the following:
A firm estimates its long-run production function to be

$$Q = - 0.0075 K ^ { - 3 } L ^ { 3 } + 12 K ^ { 2 } L ^ { 2 }$$
Suppose the firm employs 12 units of capital.
-At _______ units of labor, marginal product of labor begins to diminish.

A) 32.21
B) 44.44
C) 66.67
D) 76.66
E) 82.27