John has 6 cookies and 3 protein bars, while Luke has 3 cookies and 6 protein bars. Although they like the same products, they have different preferences over them; John’s utility function is ?(?,?)= ??2 and Luke’s utility function is ?(?,?)=?2? . The two decide to engage in trade.
a. Without normalizing prices, find their demand functions for each good.
b. Write the excess demand function for cookies.
c. Normalizing the price of protein bars, find the equilibrium price of cookies (??∗) that clears the two markets. How many cookies and protein bars does each of them consume in the competitive equilibrium?
d. Are they each better off after engaging in trade than they would have been consuming their endowments? Show your calculations.
John has 6 cookies and 3 protein bars, while Luke has 3 cookies and 6 protein...
Angie has 12 cookies ana a marginal value curve described by P=45-3Qa,while Benny has 0 cookies and a marginal value curve described by P=44-2Qb. Assume Angie and Benny are the only two people in the cookie market . a) Write down the market demand function and market supply function and draw the market demand and supply curves in one graph . b) Solve for the market equilibrium price and quantity. c) How many cookies does each of them consume ?...
Angie has 12 cookies ana a marginal value curve described by P=45-3Qa, while Benny has 0 cookies and a marginal value curve described by P-44-2Qb. Assume Angie and Benny are the only two people in the cookie market. a) Write down the market demand function and market supply function and draw the market demand and supply curves in one graph. b) Solve for the market equilibrium price and quantity. c) How many cookies does each of them consume ? d)...
Description of the economy: For each of the following problems, consider a 2x2 Exchange Economy with two consumers A and B, and two goods X and Y . The preferences of consumer A can be represented by the utility function uA(xA, yA) = xAyA , where xA is the amount of good A consumed by consumer A, and yA is the amount of good Y consumed by consumer A. The preferences of consumer B can be represented by the utility...
Angie has 12 cookies, and a marginal value curve described by P
= 45 - 3Qa, while Benny has zero cookies, and a marginal value
curve described by P = 44 - 2Qb.
Important!!)) I don't know how to get
consumer surplus and seller surplus when kink exists.
e.g)
2. Refer to the equations of Question 1. Assume Angie and Benny are the only two people in the cookie market. a) Write down the market demand function(s) and market supply...
Description of the economy: For each of the following problems, consider a 2x2 Exchange Economy with two consumers A and B, and two goods X and Y . The preferences of consumer A can be represented by the utility function uA(xA, yA) = xAyA , where xA is the amount of good A consumed by consumer A, and yA is the amount of good Y consumed by consumer A. The preferences of consumer B can be represented by the utility...
John has the following utility function that represents his preferences over food (x) and housing (y) (his only two expenses) and marginal utilities: มุ4 for a level of wealth W and prices of food and housing P y respectively. Using the results from the previous homework answer the following questions Write down the Engel Curve for both goods and graph them 2) Assume W-10 and the price of food changes from 1 to 3 while the price of housing remains...
2. Suppose that Home and Foreign consumers have the same preferences over these two goods, and they are represented by the following utility function: U(Q ,Q ) = Q1/3Q2/3. cwcw a. Graph the consumer budget line of the Home country and add indifference curves to the figure. Find the amount of cheese and wine that people in Home country consume in the no-trade equilibrium? b. Graph the consumer budget line of the Foreign country and add indifference curves to the...
1a. Suppose that each worker in Home can produce 2 pound of cheese or 3 gallons of wine. Assume that Home has 40 workers. a. Graph the production possibilities frontier (PPF) for Home? What is the no-trade relative price of cheese in Home? Why? b. Suppose that each worker in Foreign can produce 1 pounds of cheese or 2 gallons of wine. Assume that Foreign also has 40 workers. Graph the PPF for Foreign? What is the no-trade relative price...
Please help me with my homework, thanks!
6) A pure-exchange economy has n consumers and two goods. The aggregate excess demand functions for goods 1 and 2, defined for all strictly positive price vectors p (pi, p2), are given by Z,(p) = I'l n-A and Z. (p)-n n-B where A and B are real numbers. Assume that 2p2 P1 these excess demand functions are derived from each consumer i maximizing a strictly monotonic utility function subject to the budget constraint...
6) A pure-exchange economy has n consumers and two goods. The aggregate excess demand functions for goods 1 and 2, defined for all strictly positive price vectors p (pi, p2), are given by Z,(p) = I'l n-A and Z. (p)-n n-B where A and B are real numbers. Assume that 2p2 P1 these excess demand functions are derived from each consumer i maximizing a strictly monotonic utility function subject to the budget constraint р.Х. DN a) Find all values of...