An individual's utility function is given by U = 260x₁ + 310x₂ + 5x₁x₂ - 10x² – x² - where x₁ is the amount of leisure measured in hrs/week and x₂ is earned income measured in $/week. Find the values of x₁ and x2 which maximise utility.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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An individual's utility function is given by
U = 260x₁ + 310x₂ + 5x₁x₂ − 10x² – x²
where x₁ is the amount of leisure measured in hrs/week and x2 is earned income
measured in $/week. Find the values of x₁ and x₂ which maximise utility.
Transcribed Image Text:An individual's utility function is given by U = 260x₁ + 310x₂ + 5x₁x₂ − 10x² – x² where x₁ is the amount of leisure measured in hrs/week and x2 is earned income measured in $/week. Find the values of x₁ and x₂ which maximise utility.
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