Consider an exchange economy with two people (Ann and Bob) and two goods (apples and bananas). Ann and Bob have the following utility functions:
UA = min (XA1 , 2XA2) (XA1 is Ann's consumption of apples, and XA2 is her consumption of bananas)
UB = XB1 . XB2 (XB1 is Bob's consumption of apples, and XB2 is his consumption of bananas)
Ann's initial endowment is 15 apples and 5 bananas and Bob's initial endowment is 5 apples and 5 bananas.
Which of the following statement(s) is true?
(i) Initial allocation is Pareto Optimal
(ii) Bob consuming 18 apples and 9 bananas is Pareto Optimal
(iii) In the competitive equilibrium, price of apple is twice the price of banana
(iv) Ann consuming 10 apples and 5 bananas is competitive equilibrium