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Find the marginal rate of substitution discuss how mrs xy

For each of the following utility functions,

Find the marginal rate of substitution,
Discuss how MRS XY changes as the consumer substitutes X for Y along an indifference curve,
Derive the equation for the indi?erence curve where utility is equal to a value of 100,
Graph the indi?erence curve where utility is equal to a value of 100.

(a) U(X,Y ) = XY^2

(b) U(X,Y ) = XY + 10Y

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