Swanson Industries produces wooden chairs using a combination of labor and capital. The production function is given by f(K,L) = K²L where K is the amount of capital and L is the amount of labor input used. Suppose for simplicity that Swanson Industries can purchase any amount of labor at a wage of w = 5 and any amount of capital at a rate of r = 3. (a) Set up the cost minimization problem for Swanson Industries and solve for the optimal amount of capital and the optimal amount of labor, each as a function of q. (b) Using your answer to (a), solve for the (minimized) cost function C(q). (b) What kind of returns to scale does the firm exhibit?