3. Suppose there are two identical cities, city A and city B. They have the following utility curve:x + 5if x < 5,u(x) =20 – 2x if x > 5,where x is the number of workers (in millions), and u(x) is the utility of a single worker.(a) Suppose city A has 3M workers (so x = 3 for this city), and city B has 6M workers. Isthis an equilibrium? If so, it is stable?Equilibrium: Yes / No. Stable: Yes / No .Explanation.(b) Now suppose that both cities have 12.5M workers. Is this an equilibrium? Is it stable?Equilibrium: Yes / No. Stable: Yes / No .Еaplanation.(c) There is an improvement in city B. Its new utility curve is:2x + 6if x < 6,30 – 2x if x > 6.What is the new equilibrium? Who gained from this improvement?In equilibrium, population of A isand population of B isЕаplanation.

Cities in a regional economy are linked through the labor and goods market. In the long run, the…

Answered: Suppose there are two identical cities,…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

See similar textbooks

Similar questions

Robinson Crusoe has exactly 12 hours per day to spend gathering coconuts ( C) or catching fish (F). Let tp denote the time (in hours) spent catching fish and tc the time (in hours) spent gathering coconuts per day. Robinson can catch 3 fish per hour or he can gather 6 coconuts per hour; his "production technology" can thus be described by: F = 3tp and C = 6tc. Robinson's utility function is U(F,C) = FC where F is his consumption of fish and C is his consumption of coconuts. 1. (a) Write down Robinson's time constraint and hence find an equation for his Production Possibility Frontier (PPF). (b) Find the number of fish Robinson will catch per day and the number of coconuts he will gather per day.
(2) Consider a Robinson Crusoe's economy, where he has 10 hours to spend on gathering coconuts (L), or a leisure (R). That is, L + R = 10. He can produce coconuts based on the production function given by C = 4√L, where C is the number of coconuts. He does not enjoy gathering coconuts, but does enjoy his leisure time and eating coconuts. His utility function is given by u(C, R) = CR. (a) Find the optimal allocation (C*, L*), in which Robinson Crusoe acts as a social planner. (b) Now consider a de-centralized economy. That is, think of this economy that consists of many individuals with the identical taste and technology. First, consider a firm's decision problem. The firm produces coconuts (C), employing workers (L). The firm hires L in a competitive market, given the wage rate (w). Without loss of generality, assume the price of coconuts to be Pc = 1. Given the market wage rate (w), how much labour would a firm hire in order to maximize its profits? Label your answer as L, and note…
Remy and Emile consume only blueberries (x,) and raspberries (x,). Remy has utility function UR = x (x5)² and Emile has utility function UE = (xf)²x. Remy is endowed with 5 blueberries and 5 raspberries and Emile is endowed with 10 blueberries and 10 raspberries. (a) Derive the equation of the contract curve, i.e., find x%(xf). (b) Set x2 as the numeraire, i.e., assume p, = p and p2 = 1. Find the competitive equilibrium – the equilibrium price ratio, P1/P2, and the equilibrium allocation, ((xf, x5), (xf,x£ )).
Suppose you get two job offers when you graduate. First offer is in LA and pays $6000 permonth. The price of food in LA is $3 and price of housing is $5. The second offer is in SanFrancisco and pays $10000. Both food and housing is more expensive in SF at PF = 4 and PH = 6respectively. If your utility function is U (F, H) = F1/4 H 3/4 which job offer should you accept?
Consider a Robinson Crusoe economy. Robinson is a representative agent with utility function: u(c, r) = cr, where c is coconuts, and r is leisure. In order to produce coconuts, technology dictates the production, which is given by c = avL, where a is some constant, and L is labour. Suppose that a=2. Finally, there is a time constraint: r+L=21 for the consumer. Also the consumer has income of 9. Consider a competitive labour market. Given the wage rate, w=1, the consumer would like to supply 2 decimal places.) units of the labour input. (Answer just the number up to
Tom and Jerry are room mates. They spend a total of 80 hours a week together in their room. Tom likes loud music, even when he sleeps. His utility function is UT(CT, M) = CT + M, where CT is the number of cookies he eats per week and M is the number of hours of loud music per week that is played while he is in their room. Jerry hates all kinds of music. His utility function is M² 12 UJ = CJ Every week, Tom and Jerry each get 12 chocolate chip cookies sent from home. They have no other source of cookies. We can describe this situation with a box that looks like an Edgeworth box. The box has cookies on the horizontal axis and hours of music on the vertical axis. Let the bottom-left corner be the origin for Tom, and the bottom-right corner be the origin for Jerry. Suppose the dorm's policy is "rock-n-roll is good for the soul." Thus, M=80 in the initial endowment. Consider a trade between Tom and Jerry: Jerry gives Tom one cookie for reducing one hour of music. Then the change in Jerry's…
Consider the following utility function U(X,Y) = 2X + 3Y PX,PY, and I are exogenous. (a) What is the demand function for X? (b) What is the demand function for Y?
= 5. Consider an economy with a single (representative) agent with utility function u(x, lc) = x¹/514/5 and an endowment of 0 units of x and 10 units of time, which the agent can use as leisure (c) or labor (L) (i.e., L + lc = 10). The agent owns a firm that produces good x using L as an input, with technology of production given by x(L) = 3√L. Let the price of x be p = 1 and let w denote the price of time (i.e., the price of leisure and the wage). Find the competitive price of time w and the competitive allocation.
A college football coach says that given any two linemen A and B, he always prefers the one who is bigger and faster. Is this preference relation transitive? Is it complete? The production function for puffed rice is given by q , where q is the number of boxes produced per hour, K is the number of puffing guns used each hour, and L is the number of workers hired each hour. Calculate the q = 1,000 isoquant for this production function and show it on a graph. If K = 10, how many workers are required to produce q = 1,000? What is the average productivity of puffed-rice workers? Suppose technical progress shifts the production function to , answer parts a and b for this new situation.
An economy is endowed with 100 units of labor, and the production functions x = 2Lx and y = 4Ly. The utility function for this economy is u(x,y) xy. What is the optimal basket (x,y) for this economy %3D to produce? O (10, 380) O (50, 100), O (100, 200) O (150, 150)
Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries). There are two types of agents, h and g, and they have the same preferences over consumption, represented by the utility function: u(x1, 22) = In r1 + In #2. However, there are twice as many type-h agents as type-g agents. The only factors of production are their labour. When a type-h agent chooses to spend a fraction a of his day producing meat and the rest producing berries then his output is (yf, y ) = (2a, 2(1 – a)). A type-g agent is more productive. When she chooses to spend a fraction B of her day producing meat and the rest producing berries then her output is (v7, y2) = (38, 12(1 – B)). Which of the following statements is correct? a. Given equilibrium price p, each agent of type h demands one unit of good 1 (meat) and p units of good 2 (berries). Each agent of type g demands 6/p units of good 1 (meat) and 6 units of good 2 (berries). O b. Given equilibrium price p, each agent of…
Owen and Simon both like playing with balls and cars. Suppose B represents the number of balls, and C represents the number of cars. If Owen's utility function can be given by U(B, C) = 10B + 5C, and Simon's utility function can be given by U(B, C) = 6B + 6C, which of the following trades would be mutually beneficial? Ⓒa. Owen gives Simon 2 balls in exchange for 3 cars b. Owen gives Simon 2 cars in exchange for 3 balls ⒸC. Owen gives Simon 3 cars in exchange for 2 balls Ⓒd. Owen gives Simon 3 balls in exchange for 2 cars

SEE MORE QUESTIONS

Recommended textbooks for you

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

ENGR.ECONOMIC ANALYSIS

Economics

ISBN:

9780190931919

Author:

NEWNAN

Publisher:

Oxford University Press

Principles of Economics (12th Edition)

Economics

ISBN:

9780134078779

Author:

Karl E. Case, Ray C. Fair, Sharon E. Oster

Publisher:

PEARSON

Engineering Economy (17th Edition)

Economics

ISBN:

9780134870069

Author:

William G. Sullivan, Elin M. Wicks, C. Patrick Koelling

Publisher:

PEARSON

Principles of Economics (MindTap Course List)

Economics

ISBN:

9781305585126

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Managerial Economics: A Problem Solving Approach

Economics

ISBN:

9781337106665

Author:

Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor

Publisher:

Cengage Learning

Managerial Economics & Business Strategy (Mcgraw-…

Economics

ISBN:

9781259290619

Author:

Michael Baye, Jeff Prince

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS