Consider a Production Function of the Form $Q = K ^ { 2 } L ^ { 2 }$

Multiple Choice

Consider a production function of the form $Q = K ^ { 2 } L ^ { 2 }$ with marginal products $\mathrm { MP } _ { \mathrm { K } } = 2 \mathrm { KL } ^ { 2 }$ and $\mathrm { MP } _ { \mathrm { L } } = 2 \mathrm {~K} ^ { 2 } \mathrm {~L}$ . What is the marginal rate of technical substitution of labor for capital at the point where $\mathrm { K } = 5$ and $\mathrm { L } = 5$ ?

A) 5
B) 25
C) 50
D) 1