A Firm uses two inputs X and Y to produce a specific good/service. The production function is as follows (Cobb-Douglas): o = F(X,Y) = 01.x\" Y\" A. Derive the equation for the marginal product of X (MPX) and Y (MPy). B. Does this production function exhibit: constant, increasing or decreasing return to scale? Justify your answer C. Suppose 0'. = 2, X = 20, Y = 20. Solve for MP). and MP3,. Which is larger? Why? D. Based on the above estimations, what would you recommend the firm to do in future, in terms of hiring X and Y? why? E. If the firm set a budget of S40 and the price of inputs Px = 10, PV = 4, find the optimal level of inputs combination? What is the maximum (optimal) output? Graph