Labour economics

Suppose that the hourly wage is $10 and the price of each unit of capital (K) is $400, 000 (rent on expensive machinery). The price of output is constant at $25 per unit. The production function is given by: Q = F(L,K) = 200 L1/2k1/2 Suppose initially that the firm is operating in the short-run such that its capital stock is fixed at 4 units. a) Find the cost minimizing capital to labour ratio. For each unit of labour used Type your answer here units of capital should be used to minimize costs