Suppose you are the new Manager of Kramerica Korporation, a firm which makes large rubber bladders for oil tankers with two inputs capital and labor. On your first day, you discover that the marginal product of capital is 1,000, the price of capital or rent is $100, the marginal product of labor is 500 and the price of labor or the wage rate is $25. Based on these numbers,
a. Is Kramerica employing its two inputs optimally? How do you know?
b. What would you do as the new Manager, and why?
a) MPL = 500
w = $25
MPK = 1000
PK = $100
To determine the optimal capital labor ratio set the Marginal rate of technical substitution equal to the ratio of the wage rate to rental rate of capital. If this is equal than this is the optimal solution. if this is not equal than this is not the optimal solution.
MRTS = MPL / MPK = w/r
= 500 / 1000 = 25 / 100.
So this is not the optimal solution. because .
b) here
New manager will employ more labor so that quantity of labor increases. and if quantity of labor increases MPL decreases. So manager will continue to hire more labor till . Manager will do this to find the optimal number of inputs.
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