4- The followings are short run production functions for two rms operating in different industries with different capital structures. FCLh 2 am Hr)2 = Min{aG, 111%} + {NZ I? 1: represents the sector-specic capital employed by the rm 1, Ebrepresents the sector-specic capital, employed by the rm 2, while L represents the labor employed by the rm. Use 1'1 , T2 to represent the rental price of capital structures. w to represent the wage of labor, P1 is the price of the good produced in the rst industry and P2 is the price of the good produced in the second industry. Assume that all markets (commodities and factor markets) are competitive, and labor are mobile across industries. G represents public infrastructure investment by the government and A represents the technology level. (Hint: G is xed in the short run}. a) Find and draw the the Value of Marginal Product for Labor for two firms? (5 Marks) b) W'rite down the prot maximization problem and derive labor demand curves for each firm? What is the employment (for labor) level for rm 1 and rm 2 ? (10 Marks) c) Find the prot level for each rm? (5 Marks) d) Discuss the impact of public infrastructure investment and technological advancement on labor productivity and employment levels for each rm