For each of the following economies (preferences and endowments) neatly draw an edgeworth box and identify and label:• The contract curve (the set of Pareto optimal allocations)• The set of individually rationalallocations at the given endowment (allocations that are at least asgood as the endowment for both agents)(a) U1(x, y) = min[x, y], U2(x, y) = x + y and e1 = (1, 2), e2 = (4, 2)(b) U1(x, y) = min[x, y], U2(x, y) = min[x, y]. e1 = (4, 2), e2 = (4, 2)(c) U1(x, y) = x + y, U2(x, y) = x + y and e1 = (2, 2), e2 = (2, 2)(d) U1(x, y) = 2x + y, U2(x, y) = x + 2y and e1 = (2, 2), e2 = (2, 2)(e) U1(x, y) = 2x + y, U2(x, y) = x + 2y and e1 = (0, 4), e2 = (4, 0)