The marginal product of labor function for Central Milling Inc. is given by the equation MPL = 10 (K/L) ^ 0. 5 Currently, the firm is using 100 units of capital and 121 units of labor. Given the very specialized nature of the capital equipment, it takes six to nine months to increase the capital stock, but the rate of labor input can be varied daily. If the price of labor is $10 per unit and the price of output is $2 per unit, is the firm operating efficiently in the short run? If not, explain why, and determine the optimal rate of labor input.

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