Suppose a firm has a production function given by Q = L^1/2K^1/2. Therefore,

Suppose a rm has a production function given by Q = L1/2K1/2. Therefore, NIH MPL = K andMPK = \"1 2L 2K5 N l The rm can purchase labor, L, at a price w = 15 and capital, K, at a price of r = 135. a. If the rm wants to produce 60 units of output (Q=60), how much labor and capital should the rm hire in order to minimize the cost of production? b. What is the rm's Total Cost function, TC(Q)? c. What is the rm's marginal cost of production