Question: 1. State the Maximum Theorem. (30 points) 2. Give an example of a differentiable utility function and a continuous but not differentiable utility function that

1. State the Maximum Theorem. (30 points) 2. Give an example of a differentiable utility function and a continuous but not differentiable utility function that represent the same preference relation for a consumer whose consumption set is the first quadrant in the plane. (15 points)

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