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Alice’s utility function is ?(?, ?) = √?√? where ? is her consumption of good 1...

Alice’s utility function is ?(?, ?) = √?√? where ? is her consumption of good 1 and ? is her consumption of good 2. Denote Alice’s income by ?, and denote the prices of good 1 and 2 by ?1 and ?2 respectively.

1. What is the formula for Alice's marginal rate of substitution?

2. Write down the two equations necessary to solve for Alice's optimal values of x and y.

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