A Firm Estimates Its Long-Run Production Function to Be $Q = - 0.0075 K ^ { 3 } L ^ { 3 } + 12 K ^ { 2 } L ^ { 2 }$

Multiple Choice

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