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.The product curve(s) in the short-run are

A) TP = -12.96 L³ + 1,728L².
B) AP = -12.96 L³ + 1,728L².
C) MP = -38.88 L² + 3,456L.
D) both a and b
E) both a and c