Suppose the production function is q = 12 L0.25 K0.75. Determine the l

Suppose the production function is q = 12 L0.25 K0.75. Determine the long-run capital-to-labor ratio (K/L) if the cost a unit of capital (r) is three times the cost of a unit of labor (w).

What will be an ideal response?

ANSWER

The firm minimizes costs by setting MRTS = w/r. MRTS = MPL/MPK = K/3L = 1/3 = w/r. This firm will set K/L equal to one.