Please handwrite the answer.

1. Alice and Bob cohabit a two-person two good exchange economy. Alice has an endowment wa = (50, 25) and Bob has an endowment we = (25,25). (a) Draw the edgeworth box of this economy, showing the initial endowment in the box. (b) Suppose Alice and Bob both have symmetric Cobb-Douglas utility u*(x4) = xax, and ub(xB) = xBx5. Graph the contract curve (assuming interior points only). (c) Graph the indifference curves of Alice and Bob at the initial endowment, the set of Pareto improvements from the initial endowment, and the core. (d) Repeat parts (a) through (c) but suppose Alice has the Cobb Douglas utility u'(x4) = xaxA while Bob has perfect substitute utility ub (x) = x8 + x2. (e) Repeat parts (a) through (c) but suppose Alice has the quasi-linear utility u"(x*) = 10\\ xi + x, while Bob has perfect substitute utility u (x ) = x5 + x5