Suppose there are two consumers, A and B. There are two goods, X and Y. There is a TOTAL of 8 units of X and a TOTAL of 8 units of Y. The consumers’ utility functions are given by:
UA(X,Y) = 4X + Y
UB(X,Y) = X*Y
For each of the following allocations, write TRUE if it is Pareto Efficient and FALSE if it is not:
i) Consumer A gets 6 units of X and 2 units of Y, and Consumer B gets 2 units of X and 6 units of Y.
ii) Consumer A gets 4 units of X and 6 units of Y, and Consumer B gets 4 units of X and 2 units of Y.
iii) Consumer A gets 7 units of X and 0 units of Y, and Consumer B gets 1 unit of X and 8 units of Y.
iv) Consumer A gets 4 units of X and 0 units of Y, and Consumer B gets 4 units of X and 8 units of Y.
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