1. Polly and Marta have identical utility functions for goods A and B as U = 40A0.250.5 with marginal utilities MUA = 10A-0.750.5 and MUB = 20A0.25B-0.5. Prices are PA = $4 and PB = $2. Polly has income of $720 and Marta has income $900. A. Find the individual and total (market) quantities demanded for goods A and B. (That is, calculate their utility maximizing choices of A and B at the given prices and incomes). B. Total supply of A is 140 units and B is 520 units. Draw the consumption and production combinations in a graph with an Edgeworth Box and Production Possibilities Frontier. C. Explain (and show on your graph above) whether this economy is in a competitive equilibrium. If not, in which directions do you expect prices to change? D. Explain the efficiency conditions that must be satisfied efficient allocation of resources in this economy. E. Explain how the competitive equilibrium set of prices results in an efficient allocation of resources (efficiency conditions satisfied)