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Givens: min L 20, K > O s.t. The marginal product of labor: MPL .5 * The marginal product of capital: NIPK .5 *
Givens: min L 20, K > O s.t. The marginal product of labor: MPL .5 * The marginal product of capital: NIPK .5 * w $10, r $10 and qo 200 Baseline Scenario: $10, r $2.50 and 200 New Scenario: w 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 .5 power; and, the second term is units of labor raised to the .5 power. The marginal product of labor equals the product of three terms: the first term is .5; the second term is units of capital raised to the .5 power; the third term is units of labor raised to the -.5 power. The marginal product of capital equals the product of three terms: the first term is .5; the second term is units of labor raised to the .5 power; the third term is units of capital raised to the -.5 power. As a baseline scenario: The wage rate is $10 per unit of labor; the rental rate is $10 per unit of capital; and, the output quota is 200 units. As a new scenario: The wage rate is $10 per unit of labor; the rental rate is $2.50 per unit of capital; and, the output quota is 200 units.
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