iy] V] (3 marks] Suppose a planner uses the representative consumer's utility function, to find the socially optimal allocation of resources to the two firms. Choose (xA, x3, )0 to solve maxU[x,y) = (10000)ln(x) + 3,: Subject to x = :19; + x3, xA 2 0 and x3 2 0 and C(xA) + C(xB) + E(xA) + y = 100,000 What will be the aggregate production level, and how much will each firm supply? (6 marks] Use a pair of sketches of the market and planner allocations (using the market domanclfmarginal benefit curve and cost curves of the firms} to compare the net benefit to society from the outcomes in ii) and iv}