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Al Einstein has a utility function that we can describe by u(x1, x2) = x 2...

Al Einstein has a utility function that we can describe by u(x1, x2) = x 2 1 + 2x1x2 + x 2 2 . Al’s wife, El Einstein, has a utility function v(x1, x2) = x2 + x1. (a) Calculate Al’s marginal rate of substitution between x1 and x2. (b) What is El’s marginal rate of substitution between x1 and x2? (c) Do Al’s and El’s utility functions u(x1, x2) and v(x1, x2) represent the same preferences? (d) Is El’s utility function a monotonic transformation of Al’s?

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