The following units of a particular item were available for sale during the calendar year: Jan. 1 Inventory 4,000 units at $20
Apr. 19 Sale 2,500 units
June 30 Purchase 6,000 units at $24
Sept. 2 Sale 4,500 units
Nov. 15 Purchase 1,000 units at $25

The firm maintains a perpetual inventory system. Determine the cost of goods sold for each sale and the inventory balance after each sale, assuming the first-in, first-out method.

(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?