odecor good y) and one firm. Consumer 1 has only 10 units of good x as her endowment. Consumer 2 has 25 units of good y as her endowment. The firm produces good x by using good y. Its production function is x = 2√. Consumer 1 fully owns the firm. Consumer 1's utility function is given by U₁[1, 1] In ₁+In y₁. Consumer 2's utility function is given by U2[2, 32] = √√√2Y2. Let p be the price of good x and q the price of good y. Derive the general equilibrium. =

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Consider a two-good economy (good z and good y) with two consumers
and one firm. Consumer 1 has only 10 units of good x as her endowment.
Consumer 2 has 25 units of good y as her endowment. The firm produces
good x by using good y. Its production function is x = 2/y. Consumer 1
fully owns the firm. Consumer 1's utility function is given by U1[¤1, Yı] =
In x+ln y1. Consumer 2's utility function is given by U2[c2, Y2] = VT2Y2.
Let p be the price of good x and q the price of good y. Derive the general
equilibrium.
Transcribed Image Text:Consider a two-good economy (good z and good y) with two consumers and one firm. Consumer 1 has only 10 units of good x as her endowment. Consumer 2 has 25 units of good y as her endowment. The firm produces good x by using good y. Its production function is x = 2/y. Consumer 1 fully owns the firm. Consumer 1's utility function is given by U1[¤1, Yı] = In x+ln y1. Consumer 2's utility function is given by U2[c2, Y2] = VT2Y2. Let p be the price of good x and q the price of good y. Derive the general equilibrium.
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