4) A firm faces a production function of doodads: Q(K,Lp,In) = 2.5*K"-50*Lp"*Ln"" per hour, where capital (K), production labor (Lp), and non-production labor (L.) are input factors used in production. The firm operates in a competitive market, where they are a price faker within the capital and labor markets and the price of doodads (r = 50, wp - 20, wn - 37.50, P = 10). Answer the following (30 pts): a. If capital and non-production labor are fixed at K - 25 and La = 16, what is the MPL, and graph the total production function (6 pts)? b. Is this production function decreasing, constant, or increasing returns to scale and why (4 pts)? c. Given the wage of production workers and the price of doodads, what is the optimal number of production workers to employ to maximize profits and quantity produced (VMPLp = wp) (8 pts)? d. If the firm can control the number of capital units employed in the production process as well as production labor, what does the Isoquant curve look like and its slope in relative terms (4 pts)? e. If the manager faces a cost budget of C = $2,000/hour, what are the optimal number of capital and production laborers to employ to maximize production and the quantity produced (8 pts)? f. EC: Generally, what will happen to the optimal number of capital and labor if the cost of renting capital (r) increases and why (3 pts)