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The utility function for a consumer is U = XY/(X +Y), where the MUX = Y2/(X+Y)2 and MUY = X2/(X + Y)2.

a. What is the slope of the indifference curve when X = 3.75 and Y = 3.75?

b. What is the marginal rate of substitution when X = 4 and Y = 16?

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