Suppose a firms production function is given by Q= L^1/2 * K^1/2. The marginal product of labor and the marginal product of capital are given by:
MPL= K^1/2 /2L^1/2 and MPk= L^1/2/2K^ 1/2.
Suppose the price of labor is w=24 and the price of capital is r=6. Derive the firms total cost function.