A firm employs 20 workers at a wage rate of $20 per hour, and 25 units of capital at a cost of $30 per unit per hour. The marginal product of labor is X, and the marginal product of capital is 3. The firm is producing efficiently given what value of X?
At the optimal combination of inputs : w/r = MPL/MPK
Here , w= $20 per hour
r = $30 per unit
MPL = X
MPK = 3
20/30 = X/3
X = 2
This implies that the firm is producing efficiently given the value of X that is MPL = 2.
A firm employs 20 workers at a wage rate of $20 per hour, and 25 units...
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Equation Description: A firm is attempting to minimize total
cost subject to sufficiently employing units of labor and units of
capital to produce an output level at least as large as a specified
output quota. Total cost equals the cost to employing units of
labor plus the cost to employing units of capital. A firm's
production function is the product of two terms: the
first term is units of capital raised to the .25 power; and, the
second term is units...
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