Suppose there are two consumers, a and b, and two goods x and y. consumer a is given an initial endowment of 5 units of good x and 9 units of good y. consumer b is given an initial endowment of 8 units of good x and 6 units of good y. Consumer a's utility function is given by: Ua(x,y) = X^3/4 Y^1/4 and consumer b's utility function is given by Ub(x,y) = X^1/2 Y^1/2. a) Suppose the price of good y is equal to 1. calculate the price of good x that will lead to competitive equilibrium. b) How much of each good does consumer a demand in equilibrium? c) How much of each good does consumer b demand in equilibrium? d) what is the mrs of consumer b at the competitive equilibrium?

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Suppose there are two consumers, a and b, and two goods x and y. consumer a is given an initial endowment of 5 units of
good x and 9 units of good y. consumer b is given an initial endowment of 8 units of good x and 6 units of good y.
Consumer a's utility function is given by: Ua(x,y) = X^3/4 Y^1/4 and consumer b's utility function is given by Ub(x,y) = X^1/2
Y^1/2.
a) Suppose the price of good y is equal to 1. calculate the price of good x that will lead to competitive equilibrium.
b) How much of each good does consumer a demand in equilibrium?
c) How much of each good does consumer b demand in equilibrium?
d) what is the mrs of consumer b at the competitive equilibrium?
Transcribed Image Text:Suppose there are two consumers, a and b, and two goods x and y. consumer a is given an initial endowment of 5 units of good x and 9 units of good y. consumer b is given an initial endowment of 8 units of good x and 6 units of good y. Consumer a's utility function is given by: Ua(x,y) = X^3/4 Y^1/4 and consumer b's utility function is given by Ub(x,y) = X^1/2 Y^1/2. a) Suppose the price of good y is equal to 1. calculate the price of good x that will lead to competitive equilibrium. b) How much of each good does consumer a demand in equilibrium? c) How much of each good does consumer b demand in equilibrium? d) what is the mrs of consumer b at the competitive equilibrium?
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