A) PPF for Bob
As H on X axis , so Slope of PPF = Opportunity cost of production of H in terms of P
For Bob, to Produce 1 P, give up 4 H
Opportunity cost of 1 H = .25P
So Slope is = -1/4
eqn: Y = 1 - .25X
graph

For Jake
Opportunity cost of 1 H = 2P
Slope =- 2
eqn : Y = 2 - 2X
Graph

B)
Let TOT : 1 P= 2T
Then, then if Jake sells 1 P, it gets 2 T
So Consumption point : ( P, T) = (1,3)
For Bob
Gets 1 P for 2T
Consumption point : (P,T) = (2,2)
So both are better off, bcoz these points don't lie on ppf
(10 points) Consider a simple exchange economy with two people: Bob and Jake. Bob and Jake...
Consider an exchange economy with two goods (1 and 2) and two consumers (Anna and Bob). Anna’s utility is uA = xA1xA2, while Bob’s utility is given by uB = xB1 + xB2. Initial endowments are (3, 0) for Anna, and (0, 2) for Bob. (a) Find all Pareto efficient allocations. (b) Find the competitive equilibrium. (c) Draw a clearly labeled Edgeworth box. (d) Are the preferences of Anna and Bob any different? Does it make sense to treat them...
3. Consider an economy with two people, Yu and Jevon, and two commodities, clothing and food. Currently, Yu and Jevon would both be willing to give up two articles of clothing for five pieces of food. Further, the workers in town can, in a given day, produce either 45 pieces of clothing or 40 pieces of food is the allocation of resources in this economy Pareto efficient? (10 pts) If not, should there be more clothing or more food? (5...
9) (10 points) Consider an exchange economy composed of two individuals A and B and two goods x1 and X2. A's utility function is given bỵ U,-2X1 + X2. Individual B's utility function is givenby u = xx2. In the economy, the total endowment of xņš 2 and the total endowment of x2 is 1. Normalize p2 to 1. We know that, in this economy eauilibrium price is given bypi-1. a. (6 points) Find the equilibrium allocation b. (4 points,...
4. Problems and Applications Q4 An economy consists of three workers: Dmitri, Jake, and Nick. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Dmitri can either mow 1 lawn or wash 2 cars: Jake can either mow 1 lawn or wash 1 car; and Nick can either mow 2 awns or wash 1 car. For each of the scenarios listed in the following table, determine how many lawns will...
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3. Consider a foreign economy with current exchange rate of 10 units of currency per 1 USD. Investors can buy a US bond paying 2% for a year or can by a foreign bond (with equivalent risk) paying 3% for a year. a. What exchange rate in a year's time would make investors indifferent between investing in the US or foreign country? b. Suddenly there is news that the foreign country's inflation rate will be 1% higher. What exchange rate,...
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4. Problems and Applications Q4 An economy consists of three workers: Bob, Eric, and Kenji. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Bob can either mow 2 lawns or wash 1 car; Eric can either mow 1 lawn or wash 1 car; and Kenji can either mow 1 lawn or wash 2 cars. For each of the scenarios listed in the following table, determine how many lawns will be mowed...
nformation P Flag question Consider a simple exchange economy where there are two producers, one producing Good X and the other Y. There are in total 100 units of K and 800 units of L in the economy. The production function of X Is X (KxLx)=10 K40.42X0.6 and that of Y is Y(Ky, Ly)= 4Ky + Ly Currently, the X production is using 60 units of K and 60 units of L. Follow the steps below to check if the...
10. Consider a pure exchange competitive market economy with two individ- uals, A and B, and two commodities, x and y, whose prices are denoted by px and py, respectively. Individual A lexicographically prefers x to y. Individual B's utility function is min{x,y}. Both individual A's and B's endowment is (50,50). A competitive equilibrium price ratio, Px/py, for this economy (a) exists and is equal to 1 (b) exists and is less than 1 (c) exists and is greater than...