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Consider a consumer with preferences represented by the utility function u(x)=x13/4+x23/4. (a) Solve for the Marginal Rate of Substitution. (b) Under what economic conditions (values of prices and income) does this consumer choose interior bundles? (c) Solve for their Marshallian Demand functions. (d) Is x1 a normal good or an inferior good? (e) (Challenging) Is x1 a gross substitute for x2 ?