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Consider an individual whose preferences are dened over bundles of non- negative amounts of each of two commodities. Suppose that this individ- ual's preferences can
Consider an individual whose preferences are dened over bundles of non- negative amounts of each of two commodities. Suppose that this individ- ual's preferences can be represented by a utility function U : R3 #> IR. of the form U ($1, $2) = In (:51 + 1) + 2%, where an denotes the individual's consumption of commodity one, and 1:; denotes the individual's consump- tion of commodity two. This individual is a price taker in both commodity markets. The price of commodity one is p1 > 0, and the price of commodity two is 102 > 0. This individual is endowed with an income of y > 0. 1. Does this individual have quasilinear preferences? Justify your an swer. 2. Are this individual's preferences locally nonsatiated? Justify your answer. 3. What is this individual's budgetconstrained utility maximisation
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