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Economics Budget Constraint / Bundle Consumption

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Jon's income is $150. Good X is $2 and good Y is $2. Jon buys 50 units of X and 25 units of Y. Call this bundle K. At this bundle the marginal rate of substitution is 2. Can Jon improve himself by increasing his consumption of Y? What should he do?

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Choosing consumption levels to maximize utility.

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Utility maximization occurs when the marginal utility per dollar for both goods is the same. The marginal rate of substitution is defined as MUx/MUy. Thus we have MUx/2 = MUy/2 for the ideal bundle and MUx/MUy = 2 for bundle K.

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