Suppose a firm produces a single product and has a production function given by Q = K^(1/2)L^(1/2), where Q is the quantity of output, K is the amount of capital used in production, and L is the amount of labor used in production. The firm faces a wage rate of $10 per hour and a rental rate of $20 per hour for capital. The market price for the firm's product is $4 per unit. Determine the firm's cost-minimizing combination of capital and labor needed to produce 10 units of output.

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