A firm manufactures a product according to the production function Q = F(K,L) = K¹/2/1/2 Suppose wage rate is w= $10 per hour and rental rate of capital is r=$40 per unit. If the firm wants to produce 100 units of output, what is the cost minimizing combination of labour and capital? What the minimum cost of producing 100 units of output? (Hints: First use cost minimizing input rule MPL/W=MPK/r and express L as a function of K and substitute for L in production function with Q=100).