Find the Value of the Marginal Rate of Technical Substitution $Q = 300 K ^ { \frac { 2 } { 3 } } L ^ { \frac { 1 } { 2 } }$

Multiple Choice

Find the value of the marginal rate of technical substitution for the production function $Q = 300 K ^ { \frac { 2 } { 3 } } L ^ { \frac { 1 } { 2 } }$ when $K = 40 , L = 60$ .

A) $\frac { 1 } { 2 }$

B) $\frac { 3 } { 2 }$

C) $\frac { 3 } { 4 }$

D) $\frac { 2 } { 3 }$

E) 2