Remy and Emile consume only cheese (x,) and strawberries (x2). Remy's preferences are described by UR = of cheese and 1 pint of strawberries while Emile has 4 pieces of cheese and 3 pints of strawberries. min{xf, 2x{}while Emile's preferences are described by UE = xf + x5 . Remy has 8 pieces %3D (a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Remy on the bottom left corner and Emile on the top right corner. Indicate the total number of units of x, and x,. Label the endowment allocation. Show Remy's and Emile's indifference curves. (b) Derive the equation of the contract curve. In your graph in (a), draw the contract curve. (c) Set x, as the numeraire, i.e., assume p1 = 1 and p2 = p. Find the competitive equilibrium. Hint: For Emile to consume at a Paretoefficient allocation, what should the prices be? (d) Redraw the Edgeworth box. Indicate the equilibrium allocation, e. Draw the equilibrium budget line.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Remy and Emile consume only cheese (x,) and strawberries (x2). Remy's preferences are described
by UR = min{xf, 2x5}while Emile's preferences are described by UE = xf + x5 . Remy has 8 pieces
of cheese and 1 pint of strawberries while Emile has 4 pieces of cheese and 3 pints of strawberries.
(a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Remy
on the bottom left corner and Emile on the top right corner. Indicate the total number of units
of x, and x2. Label the endowment allocation. Show Remy's and Emile's indifference curves.
(b) Derive the equation of the contract curve. In your graph in (a), draw the contract curve.
(c) Set x1 as the numeraire, i.e., assume p, = 1 and p2 = p. Find the competitive equilibrium.
Hint: For Emile to consume at a Paretoefficient allocation, what should the prices be?
(d) Redraw the Edgeworth box. Indicate the equilibrium allocation, e. Draw the equilibrium budget
line.
Transcribed Image Text:Remy and Emile consume only cheese (x,) and strawberries (x2). Remy's preferences are described by UR = min{xf, 2x5}while Emile's preferences are described by UE = xf + x5 . Remy has 8 pieces of cheese and 1 pint of strawberries while Emile has 4 pieces of cheese and 3 pints of strawberries. (a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Remy on the bottom left corner and Emile on the top right corner. Indicate the total number of units of x, and x2. Label the endowment allocation. Show Remy's and Emile's indifference curves. (b) Derive the equation of the contract curve. In your graph in (a), draw the contract curve. (c) Set x1 as the numeraire, i.e., assume p, = 1 and p2 = p. Find the competitive equilibrium. Hint: For Emile to consume at a Paretoefficient allocation, what should the prices be? (d) Redraw the Edgeworth box. Indicate the equilibrium allocation, e. Draw the equilibrium budget line.
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