Let the production function Q=KaL1a Where Q is the quantity produced, K the units of capital and L the units of labor factor employed in the productive process.

Find the partial derivatives / , and /

Explain the concept of marginal productivity of the variable factor

Interpret / , and / in the microeconomic context of marginal productivity

What factor of production generates greater productivity in the company?

(Note: this function is known by the name of Cobb-Douglas and is widely used to measure productivity between sectors. There are many empirical works where this type of functions is used.)