Suppose the Production of a Firm Is Modeled by

Multiple Choice

Suppose the production of a firm is modeled by where k measures capital (in millions of dollars) and l measures the labor force (in thousands of workers) . Suppose that and the labor force is increasing at the rate of 90 and capital is growing at a rate of $200,000 per year. Determine the rate of change of production.

A) Production is increasing at a rate of 13.27 units per year.
B) Production is increasing at a rate of 2.13 units per year.
C) Production is increasing at a rate of 10.15 units per year.
D) Production is increasing at a rate of 21.29 units per year.