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For each of the following utility functions, find the marginal rate of substitution function, MRS, and plot the indifference curve for which the consumer reaches a utility level of U = 10.

a. u(x1x2)= x1x2

B. u(x1x2)= 2x2

C. u(x1x2)= x1+x2

D. u(x1x2)= min{x1,2x2}

e. u(x1x2)= x2+x21

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