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Maddie maximizes the following utility function subject to an income constraint: Utility = U(X, Y) = 2X + 2Y . (a) Compute MRS and show

Maddie maximizes the following utility function subject to an income constraint: Utility = U(X, Y) = 2X + 2Y .

(a) Compute MRS and show it is diminishing. Why is diminishing MRS important in this context?

(b) Explain the concept of homotheticity. Is this utility function homothetic?

(c) Compute Maddies indirect utility function.

(d) Compute and graph Maddies Marshallian and Hicksian demand curves for X.

(e) Prove that X is a normal good.

(f) If the price of X is $10 and the price of Y is $15, what is the minimum income Maddie must earn to have a utility level of 20?

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