What is the optimal labor supply of the representative consumer? ○ N³* = 1 − (3) 4 1-(3/4) 4w4 ON * = 1 - (38 β = 1 − ( ) ○ N8* = 1 - 4w ○ N** = 1 - (40) 43 Consider the decisions of a representative consumer whose preferences are given by u(C, 1) = C+ Bl₁, in which C is the quantity of consumption and 1 is the quantity of leisure. The parameter Bis positive, and 0 < ß < 1 holds. The consumer faces two constraints. The time constraint is given by 1 + N³ = 1 with N³ as the time spent working (or the labor supply). Further, consumers take wages as given (outside of their control) and obtain wage income equal to wNs. The budget constraint is C w(1-1)+π-T, with TT as the real dividend income received from the representative firm and T as the real lump- sum taxes paid to the government. Assume for simplicity that T = 0. =

1- A consumer who starts (i.e. has an endowment) at point B, and has preferences shown by IC1, will want to borrow.  Select one: True False   2-Assuming a mix of present and future consumption is preferred, ANY consumer who starts (i.e. has an endowment) at point A will gain utility from a rise in interest rates.    Select one:   True False   3-A consumer who starts at point B will want to borrow, but as little as possible in order to minimise the cost of interest.   Select one:   True False   4-If a consumer starts at point A, and then receives extra income in the present, this would appear as an outward shift of the budget constraint. Select one:   True False

An individual is faced with a choice of buying housing in one of two markets; the private market where he may buy any amount of housing he pleases at the going price, and the public housing market where he will be offered, on a take-it-or-leave-it-basis, a particular amount of housing at a price lower than that which he would pay for it on the private market. Will he necessarily choose the public housing? If so, may we conclude that he will consume more housing than he would have purchased had he been forced to buy it on the private market? (With thanks to Dr Leslie Rosenthal.)  

With the use of graphs state how the Consumer’s optimum in the Fisher’s Intertemporal Choice Model.

A young consumer has to decide how to spend his spare time. He can either watch movies x or play online video games y. Each round of the game cost 20 and each movie cost 20. He has 200 dollars to spend each week. In addition, he has time constraint. He can spend no more than 20 hours for entertainment each week. A movie last 2 hours and playing a game takes about 1 hour. His utility is given by √xy. Use the Kuhn-Tucker condition to find his optimal choice. (Assume that x and y can take any value, not necessarily integers.) Does the solution satisfy the necessary and sufficient condition for a maximum?

You have k20 per week to spend and two possible uses for the money: telephoning friends back home and drinking coffee. Each Hour of phoning costs k2 and each cup of coffee costs k1. Your utility function is U(X,Y)=XY,where X is the hours of phoning you do and Y the number of cups of coffee you drink. What are your optimal choices? What is the resulting utility levels? You can use the standard result on the constrained maximization of such a function, but must state in clearly

The economy is populated by 100 agents. Each agent has to divide 1 unit of timebetween work and leisure given the wage rate w paid on the labor market. In additionto the salary, he or she also receives dividend a income of π = Π/100 (the total profitof the firms Π is distributed equally among all the consumers in form of dividends)Suppose that the government does not incur expenditures, so G=0.The agent’s utility function depends on consumption (c) and leisure (l), and it is assumedto satisfy u(c, l) = 0.5 ln(c) + 0.5 ln(l). On the other side of the market, there arefirms who hire workers and produce output. The representative firm operates witha Cobb-Douglas production technology Y = zK^0.5N^0.5, where z denotes the totalfactor productivity, and K = 100 is a fixed amount of capital. Each of the firm’semployees receives wage w, i.e. the total labor cost of the firm is equal to wN^dSuppose that initially z = 1 (so the competitive equilibrium is the one we calculatedin class), but the…

It is given that a typical consumer has a well-behaved preference structure for his consumption bundle, which includes only two goods, A and B. Further, assume that commodity A is normal and commodity B is Giffen. By keeping commodity A on the x-axis and commodity B on the y-axis, you are required to show the price decomposition for commodity B when $PB decreases exogenously relative to $PA.

Mats, who has reference-dependent preferences over beer and money, goes to the local pub with a friend, but is not planning on drinking any beer or spending any of his 50 Euro in cash. Let his end-of-evening outcomes in pints of beer consumed and cash be c1 and c2, respectively, and let his reference point in pints of beer and cash be r1 and r2, respectively. Then, Mats’ utility is given by v(6c1 − 6r1) + v(c2 − r2), where v(x) = x for x ≥ 0, and v(x) = 1.5x for x < 0. (a)  Suppose that the price of beer is pB. Calculate Mats’ utility from drinking one pint of beer at this price. What is Mats’ utility from drinking no beer? And, comparing these two utility values, what is the maximum price pB that Mats would pay for one beer? (b)  Suppose that Mats unexpectedly gets a pint of beer as part of a promotion at the pub, and incorporates its consumption into his reference point in beer. [Hint: this means that (r1, r2) = (1, 50).] Suppose that Mats could sell the beer at a price pS.…

Indicate whether the statement is true or false, and justify your answer.If a person discounts utility from future periods, her preferences are time-inconsistent because she does not value utility in all periods equally.