Suppose the production function is given by Q=L3/4K1/4 find the APL and MPL function?
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To determine the optimal capital-labor ratio set the marginal rate of technical substitution equal to the ratio of the wage rate to the rental rate of capital: K L = 30 120 , or L = 4K. Substitute for L in the production function and solve where K yields an output of 1,000 units: 1,000 = (100)(K)(4K), or K = 1.58.
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