Question

Consider an individual who has preferences over Hamburgers (H) and Soda (S) represented by the following...

Consider an individual who has preferences over Hamburgers (H) and Soda (S) represented by the following utility function: U(H,S)=H^0.9 + 3S. The price of a Hamburger is $4 and the price of a Soda is $3. The individual has a budget of B (you don’t know the exact amount). You are given the following marginal utilities: MUH=0.9H^ -0.1, MUS=3.

A) Find the demand functions for this individual.

B) Characterize what will happen over every feasible size of B (ie. zero to infinity). There are multiple cases to consider (Hint: Try to think about what happens to MUH when H=0, then what happens as it increases).

C) Suppose the individual tells you (assuming they satisfy all standard assumptions made at the consumer level) that they consume 2 sodas. What is their budget?

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