Question

Suppose there are 100 units of good x and 50 units of good y in an...

Suppose there are 100 units of good x and 50 units of good y in an exchange economy with 2 people.

Suppose consumer 1 has a utility function u1(x1,y1)=x1y1 and consumer 2 has a utility function of u2(x2,y2)=(x2y2)^(1/2)

a. What is the MRS of person 1 at 25 units of good x and 12.5 units of good y? Express the MRS as a numerical value (one decimal) in terms of units of good y that we can take away if we give the person one more unit of good x and leave the person as well off as before.

b.What is the MRS of person 2 at the consumption bundle where person 2 receives 75 units of good x and 37.5 units of good y? Please provide a numerical value with one decimal only.

Suppose person 1 owns all of good x and person 2 owns all of good y. The price of good x is $1 and the price of good y is $2.

c.Given the initial endowment of person 1 and the current prices, how many units of good x does person 1 demand? Just put down the numerical value.

d.What is the optimal amount of good y for person 1 at the current prices and initial endowment? Just put down the numerical value.

e.What is the optimal amount of good x for person 2 at the current prices and initial endowment? Put down the numerical value.

f.What is the optimal amount of good y for person 2 at current prices and the initial endowment? Just put down the numerical value.

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