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Calculating the Marginal Rate of Substitution at Equilibrium

A consumer is choosing between two goods: Good X (horizontal axis) and Good Y (vertical axis). Their budget is represented by a straight line connecting the point (0, 15) on the vertical axis to the point (16, 0) on the horizontal axis. The consumer achieves their highest possible satisfaction at the bundle (10, 6), where their indifference curve just touches this budget line. At this specific point, what is the consumer's marginal rate of substitution (the rate at which they are willing to trade Good Y for one more unit of Good X)?

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Updated 2025-09-26

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