3-Ariel's company uses two factors of production: work (L) and capital (K). The marginal productivity ome is ngL = 1.\" 3K1 3 and uses a fixed amount of capital, K = 4. The board of directors of the company has decided to set a target profit (profit) of It = 500. The prices of the factors of production labor and capital are, respectively, wL = 1 and 5va = 2 and the price of the product is P = 5. a. How much of L will be used and how much will be produced? b. Does production that maximizes profit meet the objective? Is this goal realistic? c. If the productivity of labor changes to ngL = 17335. What would be the quantity demanded of L and the quantity of production that maximizes benefits, for K=4? d. Find the shortrun cost curve for K=4; and the curves of Average Cost (CMe), Marginal Cost (MC) and Average Variable Cost (CVMe)