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1. For each of the following utility functions first find the marginal utility of x and the marginal utility of Y. Second create a chart showing the marginal utility of x for values of 1, 4, 9, 16, and 25 when y is held constant at 9 units. Third create a chart showing the marginal utility of y for values of 9, 16, 25, 36, and 49 when x is held constant at 25 units.
Note: I picked easy math numbers your answers may not be realistic. If you would like to make them more realistic, instead of using the easy square root numbers I picked start at 1 unit and increase each good by 1 unit at a time. You will probably have to solve it to multiple decimal places however for the realistic marginal utilities.
U = XY
U = X2Y2
U = X1/2Y1/2
U = X3Y2
U = 5X2Y3
U = 2X1/2Y1/2
U = 3(√XY)
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