1. A consumer consumes two commodities, x and y. The consumer has utility function U (x, y) = (x - A) y and faces the budget constraint pxx + pyy = m. The shift parameter A is age. a) Find the Marshallian demands for both goods. b) How does the optimal consumption of both goods change with age? Explain. c) Find the indirect utility as a function of prices and income. d) Find the marginal utility of money as a function of prices and age e) What happens to U (x,y) as the individual ages? f) Provide an example for goods x and y that may be represented by this utility function. Explain your answer.