Anna consumes apples (21), pears (22) and bananas (23) Suppose her utility function is u(1, 22, 3) = 1 + Inx2 + In 23. The price of one apple is pl. the price of one pear is p2, the price of one banana is p3 and budget on her consumption is m. (You may assume that her income is greater than 3p). a) Derive Marshallian demand functions for apples, pears and bananas. b) What are income and price elasticities of Anna's demand for apples, pears and bananas? c) Determine whether apples and pears are gross substitutes, gross comple ments, or neither. d) Determine whether pears and bananas are gross substitutes, gross com- plements, or neither. e) Find the Hicksian demand functions. f) Derive the expenditure function. g) Derive the indirect utility function.