22. Consider an individual who only cares about the quantity of goods she consumes this year and the quantity of the same goods she consumes next year. Let C1 be the quantity consumed this year and C2 be the quantity consumed next year. Her preferences can be represented by the following utility function: ? = ?1 1/3 ?2 2/3 Suppose she earns $150 this year and $150 next year. Let the price index this year be 1 and the price index next year be P2. The interest rate is 0.05. What is her total savings? A. 49.18 B. 52.38 C. 97.61 D. 50.00 E. None of the above.
22. Consider an individual who only cares about the quantity of goods she consumes this year...
Nora consumes only two goods (food and clothing) and her
preferences for these goods can be represented by the following
utility function
UF,C=F2C
where F is
the quantity of food consumed and C is the amount of
clothing consumed respectively. Suppose Nora’s allocated monthly
income on the two goods is $M and the prices of the two
goods (food and clothing) she prefers are
$PF for food and
$PC for clothing.
Using the above information write Nora’s utility maximization
problem...
Consider an exchange economy with two goods and two agents. Agent A likes to consume more of either good, but when she consumes a bundle, she dislikes mixing her consumption of both goods. Therefore she only cares for the maximal amount of either good contained in a bundle. Her preferences are represented by ui(xA1 , xA2 ) = max{xA1 , xA2 }. Agent B has preferences represented by ui(xB1 , xB2 ) = (xB1 )^2 + (xB2 )^2. Both agents...
Problem 1 (2.5 marks). Suppose there are only two time periods, today (period 1) and tomorrow (period 2), and only one consumption good, let's call it food. Assume that food is a perfectly divisible good. Let ci and c2 denote the amount of food consumed today and tomorrow, respectively. Note that here we use subscripts to denote time periods. The price of food today is equal to Pi = P, but as the rate of inflation is > 0, the...
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...
Question 1: Louis the retired Canadian lives on a fixed budget and consumes only two goods: toques (T) and maple syrup (M). Suppose Louis monthly budget is 100 and the price of the two goods are (PT,PM) (4,2). (a) Make a properly labeled diagram illustrating Louis'budget constraint with T on the hori- zontal axis and M on the vertical axis. Indicate the area corresponding to the set of bundles (M, T) that Louis can afford. (b) What is the maximum...
number 1 please
Problem 2. Consider a consumer has Cobb-Douglas preferences over two goods 21 and 22, given by u (21, 22) = 7 ln 21 + In 22. Let pı = 5 and p2 = 3 be the prices of the two goods, and suppose the agent has income I = 20. Suppose there is rationing of goods, so that in addition to paying for goods, the agent must have the appropriate number of coupons. Suppose, the agent begins...
An Individual lives for two periods, 1 and 2. In the first he works and earn an income of M. In the second he is retired and has no income His/her life time utility is a function of how much he consumes in the two periods. Cydenotes consumption in period 1 and 2 consumption in period 2. (Hint: If you want to, you can view and treat C and C2 as any pair of "goods", eg, good x and y)....
John Barton is both excited and amazed. Excited because on graduating from college one year ago at age 22, he landed a good job with a commercial leasing firm and he is enjoying the work. His company has good benefits and has just given him a raise so that in his next (2nd) year of employment he will be earning $55,000 per year. He is amazed because even with this raise he feels that money is just as scarce as...
1. Consumer’s utility function is: U (X,Y) = 10X + Y. Consumer’s income M is 40 euros, the price per unit of good X (i.e. Px ) is 5 euros and the price per unit of good Y (i.e. Py) is 1 euro. a) What is the marginal utility of good X (MUx) for the consumer? ( Answer: MUx = 10) b) What is the marginal utility of good Y (MUy) for the consumer? ( Answer: MUy = 1) c)...
1) Decreasing returns to scale may occur as increasing the amount of inputs used A) increases specialization B) may cause coordination difficulties. C) always increases the amount of output produced D) increases efficiency. 2) Which of the following statements is NOT true? A) AFC = AC - AVC C) AVC = wage/MPL B) AC = AFC + AVC D) C=F-VC 3) The more elastic the demand curve, a monopoly A) will have a larger Lemer Index. will face a lower...