QUESTION 4 Linguini and Colette consume only éclair (x₁) and profiterole (x₂). Linguini has utility function U^ = x^x and Colette has utility function U = 2xx. Linguini is endowed with 10 éclair (x₂) and 3 profiterole (x₂), while Colette is endowed with 20 éclair (x₁) and 9 profiterole (x₂). (a) Draw an Edgeworth box with x₁ on the horizontal axis and x₂ on the vertical axis. Position Linguini on the bottom left corner and Colette on the top right corner. Indicate the total number of units of X₁ and x₂. Label the endowment allocation. (b) Derive the equation of the contract curve, i.e., find x(x). In your graph in (a), draw the contract curve.

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Chapter1: Making Economics Decisions
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QUESTION 4
Linguini and Colette consume only éclair (x,) and profiterole (x2). Linguini has utility function
UA = x4x4 and Colette has utility function UB = 2xfx. Linguini is endowed with 10 éclair (x,)
and 3 profiterole (x), while Colette is endowed with 20 éclair (x,) and 9 profiterole (x2).
(a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position
Linguini on the bottom left corner and Colette on the top right comer. Indicate the total number
of units of x, and x2. Label the endowment allocation.
(b) Derive the equation of the contract curve, ie., find x(x). In your graph in (a), draw the
contract curve.
Transcribed Image Text:QUESTION 4 Linguini and Colette consume only éclair (x,) and profiterole (x2). Linguini has utility function UA = x4x4 and Colette has utility function UB = 2xfx. Linguini is endowed with 10 éclair (x,) and 3 profiterole (x), while Colette is endowed with 20 éclair (x,) and 9 profiterole (x2). (a) Draw an Edgeworth box with x, on the horizontal axis and x, on the vertical axis. Position Linguini on the bottom left corner and Colette on the top right comer. Indicate the total number of units of x, and x2. Label the endowment allocation. (b) Derive the equation of the contract curve, ie., find x(x). In your graph in (a), draw the contract curve.
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