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To determine the consumer's marginal utility for good Y, we must approach the problem using core concepts from the *Principles of Microeconomics*. These principles provide the framework for understanding how individuals make consumption decisions to maximize their utility given budget constraints. --- ### Understanding Marginal Utility Marginal utility (MU) refers to the additional satisfaction or benefit that a consumer derives from consuming one more unit of a good or service. In this case, the marginal utility for good Y (MUy) is the extra utility gained by consuming an additional unit of Y, holding other factors constant. Formally, marginal utility of Y is defined as: $$ MU_Y = \frac{\Delta U}{\Delta Y} $$ Where: * $\Delta U$ is the change in total utility, * $\Delta Y$ is the change in the quantity of good Y consumed. In microeconomic analysis, consumers are assumed to be rational, and they aim to allocate their limited income in such a way that maximizes their total utility. This behavior leads to the Law of Diminishing Marginal Utility, which states that as more units of a good are consumed, the additional utility derived from each subsequent unit typically decreases. --- ### Marginal Utility and Consumer Choice To understand the marginal utility of Y in the context of consumer behavior, we must consider the utility-maximizing condition: $$ \frac{MU_X}{P_X} = \frac{MU_Y}{P_Y} $$ Where: * $MU_X$ and $MU_Y$ are the marginal utilities of goods X and Y respectively, __________ ___ ____ _______ ___ _______ ________ _______ ________ _______.
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