2.) Consider a firm for which production depends on two normal inputs, labor (E) and . capital (K). Its production function is f(E, K) = 262/3K1/3 so that the marginal product of labor is MPE = 3 (B)/ 4 (2) 1/3 and the marginal product of capital is MPK = =()2/3 Initially, the firm produces 100 units of its output good. The wage rate (w) is $20 and the price of capital (r) is $30. a. How much labor does the firm employ? How much capital? b. Suppose the wage rises to $30. The scale effect is 0. However, supply-chain disruptions prevent the firm from acquiring capital in the short run. How much labor and capital does this firm use? What is its short-run labor demand elasticity? c. Suppose the supply-chain issues have been resolved, so capital can be easily adjusted. The wage is still at $30 and the scale effect is 0. How much labor and capital does this firm use? What is its long-run labor demand elasticity? What happens to total output