2. Problem 2 (Cost minimization problem). Suppose a firm has a cost function C = qK + wL. The firm's cost minimization problem is given by V (q, w, y) = min {qk + wL} K , L s.t. K1/3 x 12/3 = y. Assume that q = 1, w = 2, and y = 10. . (2.1) Solve the firm problem numerically with the fsolve function. . (2.2) Suppose that w and y are constant with w = 2, and y = 10, but q varies between 0.5 and 1.5. Plot the demand for K, K(q, y = 10). Is it an increasing or decreasing function? Why