Remy and Emile consume only blueberries (x1) and raspberries (x2). Remy has utility function U* = xf (x£)² and Emile has utility function UE raspberries and Emile is endowed with 10 blueberries and 10 raspberries. (xf)²x5 . Remy is endowed with 5 blueberries and 5 = (a) Derive the equation of the contract curve, i.e., find x (xf). (b) Set x2 as the numeraire, i.e., assume p, = p and p2 = 1. Find the competitive equilibrium – the equilibrium price ratio, P1/P2, and the equilibrium allocation, ((xf, x£), (xf, x5)).

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Remy and Emile consume only blueberries (x,) and raspberries (x,). Remy has utility function UR =
x (x5)² and Emile has utility function UE = (xf)²x. Remy is endowed with 5 blueberries and 5
raspberries and Emile is endowed with 10 blueberries and 10 raspberries.
(a) Derive the equation of the contract curve, i.e., find x%(xf).
(b) Set x2 as the numeraire, i.e., assume p, = p and p2 = 1. Find the competitive equilibrium – the
equilibrium price ratio, P1/P2, and the equilibrium allocation, ((xf, x5), (xf,x£ )).
Transcribed Image Text:Remy and Emile consume only blueberries (x,) and raspberries (x,). Remy has utility function UR = x (x5)² and Emile has utility function UE = (xf)²x. Remy is endowed with 5 blueberries and 5 raspberries and Emile is endowed with 10 blueberries and 10 raspberries. (a) Derive the equation of the contract curve, i.e., find x%(xf). (b) Set x2 as the numeraire, i.e., assume p, = p and p2 = 1. Find the competitive equilibrium – the equilibrium price ratio, P1/P2, and the equilibrium allocation, ((xf, x5), (xf,x£ )).
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