Suppose a firm with a production function given by Q = 30K0.5L0.5 produces 1,800 units of output. The firm pays a wage of $50 per unit and pays a rental rate of capital of $120 per unit. MPL = 15K0.5/L0.5 ; MPK = 15L0.5/K0.5 . How many units of labor and capital should the firm employ minimize the cost of producing 1,800 units of output, and what would be the total cost?

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