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Consider an exchange economy with two consumers, A and B, who can consume only two goods....

Consider an exchange economy with two consumers, A and B, who can consume only two goods. Suppose consumers’ preferences are represented by a Cobb- Douglas utility function of the form u(x1i,x2i) = x1ix2i (here i is for consumer A or B) for a consumption bundle of two goods (x1i,x2i).
The consumers have endowments eA = (e1A;e2A) = (4;1) and eB = (e1B;e2B) = (1;4). The price of good 1 is p1 and the price of good 2 is p2. You can normalise the price of good1to1,i.e.,p1 =1.
a. Sketch the corresponding Edgeworth box. In the Edgeworth box draw several indifference curves of both agents and mark the initial endowment of the economy.
b. Derive the consumers’ demand curves for the two goods.
c. Define the market equilibrium for this economy. Find the equilibrium price and the equilibrium allocation for this economy.
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Answer #1

. XzA . (*) first person Second person u(xri, x2i) = XA XB { u(X2A , X2B.). At optimality MRS = At optimality MRS = MUXA = XBNOTE:-- Comment if you face any problem in understanding the solution. Please upvote. Thank you.

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