Consider a production function of three inputs, labor, capital, and materials, given by Q = LKM. The marginal products associated with this production function are as follows: MPL = KM, MPK = LM, and MPM = LK. Let w = 5, r = 1, and m = 2, where m is the price per unit of materials. Find the equation of the short-run total cost curve when capital is fixed at a quantity of 50 units (i.e., K = 50) and graph it along with the long-run total cost curve. f) Find the equation of the associated short-run average cost curve.