Suppose that Hannah’s utility function is UH = 4C + 3T and that Jose’s utility function is UJ = 3C + 4T, where C is pounds of coffee per year and T is pounds of tea per year. Suppose there are fixed amounts of 28 pounds of coffee per year and 21 pounds of tea per year. Suppose also that the initial allocation is 15 pounds of coffee to Hannah (leaving 13 pounds to Jose) and 10 pounds of tea to Hannah (leaving 11 pounds of tea to Jose). Plot C on the horizontal axis and T on the vertical axis. a) What do the utility functions say about the marginal rate of substitution of tea for coffee for Hannah, MRSCT Hannah, and the marginal rate of substitution of tea for coffee for Jose, MRSCT Jose, respectively. b) Draw the Edgeworth Box showing indifference curves and the endowment, i.e., the initial allocation. c) Is the initial allocation of coffee and tea Pareto efficient? Indicate the Paretoimproving moves that would result. Draw the contract curve on the Edgeworth box. d) Compare your contract curve with the conventional contract curve depicted in the text.