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An economy has two people, Charlie and Doris. There are two goods, apples and bananas. Charlie...

An economy has two people, Charlie and Doris. There are two goods, apples and bananas. Charlie has an initial endowment of 3 apples and 4 bananas. Doris has an initial endowment of 6 apples and 2 bananas. Charlie’s utility function is U(AC, BC) = ACBC, where AC is his apple consumption and BC is his banana consumption. Doris’s utility function is U(AD, BD) = ADBD, where AD and BD are her apple and banana consumptions. Charlie claims that at every Pareto optimal allocation, he consumes 9 apples for every 6 bananas that he consumes. Is he correct?

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