Charlie consumes apples (A) and bananas (B). His utility function is . The price   of apples is $1, the price of bananas is $2, and Charlie’s income is $40. The price of bananas   suddenly falls to $1.   (a) Before the price change, how many apples and bananas did Charlie consume?   (b) After the price change, how many apples and bananas did Charlie consume?   (c) If after the price change, Charlie’s income had changed so that he could only attain his   original level of utility, how many apples

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