Below is the information for firm Carrot Brothers:

Q = 0.25*K*L

C = 0.15 + 0.15*K + 0.10*L

What is the production frontier of this firm (CRS, DRS, or IRS)? (0.4 point)

Setting the capital fixed at 2 (K = 2), what is the MPL? (0.4 point)

Setting the labor fixed at 2 (L = 2), what is the MPK? (0.4 point)

What is marginal cost of capital of the firm? (0.4 point)

What is marginal cost of labor of the firm? (0.4 point)

Calculate MC, ATC, AVC, and AFC for the firm if L = 3, and K=2, K=3 & K=4. (2 points)

If this firm can sell her products for 2 dollars (P = 2$), calculate the profit under following conditions: K = L = 3; K = 3 & L = 4; K = L = 4. What is the best scenario for the firm to produce among the above choices? Show your work. (2 points)