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Suppose That Eugene Cares Only About Action Figures and Ice

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Suppose that Eugene cares only about action figures and ice cream. His utility function is U = A0.33C0.67, where A is the number of action figures he owns and C is the number of scoops of ice cream he eats. The price of action figures is $10, and the price of ice cream is $4. Eugene has a budget of $100. How can Eugene's utility maximization problem be expressed as a Lagrangian equation?


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