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Question: what are the marginal utilities of x1 and x2 given...

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What are the marginal utilities of x1 and x2 given the following utility functions, then find the MRS:

U(x1, x2) = 4 x1 + 8 x2

U(x1, x2) = (x1 + 2)(x2 + 1)

Example. To find the marginal utility for x1, think about how a 1 unit increase in x1, keeping all else constant, will change the amount of utility U. Once you have the marginal utilities for both, you can calculate the MRS.

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