Suppose that the cost function of q is given by: C(q) = 16 + 4:; + Q2 a) Find the xed and variable cost. b) Find the average cost and marginal cost. c) Draw the relationship between MC and AC. Prove that they always intersect at the minimum. (Hint: compute the derivative of AC with respect to q and set it equal to zero. Then use this equation to show that MC 2 AC.)