Consider an economy which has two villages, Fishing and Hunting. A worker can choose one of the two villages. Those in the Fishing village catch fish, while those in the Hunting village catch rabbits, (the best hunters are the worst fishers, and vice versa). The distribution of skills is H = 102F, 0≤H≤ 10 and 0≤F≤5 Suppose that pF = PH = $10
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- Betty is looking for a job. She considers job opportunities intwo cities. Bettyís utility is given by y- x, where y is the lifetime income andx is the amount spent on buying a house. The income from City 1 fluctuatesalthough the house price is stable. On the contrary, the income from City2 is stable while the house price fluctuates. If she moves to City 1, Bettycan earn a lifetime income y1 with probability alpha and 1 + y1 with probability1-alpha . The house price in City 1 is x1. Moving to City 2 means that Bettycan earn an income of y2. However, the house price is x2 with probabilitygamma and 1 + x2 with probability 1-gamma . Do the following: (a) Write down theexpected utilities associated with living in the two respective cities, i.e., V1and V2. (b) Derive the condition under which Betty chooses City 1.Help Se For the production function Q = 5.2K + 3.8L, if K = 16 and L = 12, we know that MPK is: Multiple Choice 01:49:51 Book 12. 16. 5.2. raw ucation pe here to search hpThe consumer choice is not restricted to the choice of consumptiongoods. In fact, it can apply to all our decisions that involve trade-offs. Suppose Mary has awage per hour of 10 euros. With her earned income she consumes. That isC=wH per day.She also decides how many hours to work of take leisure time each day.H=24-N, whereHis work and N is leisure. Her utility is given by (picture) Solve for the optimal decision of labor/leisure. Plot the budget constraint and the indif-ferent curve. What is the labor supply function?
- Suppose there are two goods, co ee (C) and tea (T). The consump-tion set is R2+, so both goods can be consumed in arbitrary non-negativequantities.Abdul owns 2000 grams of co ee but does not own any tea. He hasno other wealth. The price of co ee is pC = 2 (in Dhs per gram) andthe price of tea is pT > 0 (in Dhs per gram). Abdul can sell co ee toearn income, which he can then use to buy tea or co ee. He can alsothrow co ee away (at no cost).Abdul's preferences can be represented by the utility functionu(c; t) = -(800 - c)2 - (800 - t)2;where c is the quantity of co ee (in grams) and t is the quantity of tea(in grams).(a) In separate diagrams, illustrate (i) the map of Abdul's indi erencecurves, (ii) Abdul's constraint set.(b) How much co ee and tea does Abdul decide to consume when (i)pT = 2, (ii) pT = 3, and (iii) pT = 4?(c) Illustrate Abdul's demand for co ee as a function of the price of tea (pT > 0) in an appropriate diagram.In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/4b³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is T. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume = 0.5. Knowing that bad weather…In class discussions about uncertainty we assumed that the utility levels in each state of nature depends on c, which we might interpret as some aggregate con- sumption and we expressed utility as U(c). Now, let's extend this to a case where the utility level depends on consumption of two goods (this was the type of utility we used mainly in this course). Ben is a farmer who grows wheat and barley. However, his harvest is uncertain. If weather is good, he gets 200 lbs of wheat and 200 lbs of barley. If weather is bad, he gets only 100 lbs of wheat and 100 lbs of barley. His utility in each state of nature is U(w, b) = w¹/46³/4, where w and b represent his consumption of wheat and barley, respectively. Prices of wheat and barley are $1 in both state of nature. The probability of good weather is π. Question 3 Part a Express Ben's expected utility function. (Hint: find Ben's optimal consumption in each state of nature first) Question 3 Part b Let's assume π = 0.5. Knowing that bad weather…
- what is satiation point? And how it is helpful in deriving indifference curve?Consider Angela who currently works as a data scientist with machine learning expertise. Recently,she was offered a job by Bruno’s firm. The job offer includes a higher salary than her current job andthe freedom to choose the number of work hours per day. But Angela is also an amateur musicianwho desperately dreams of becoming a professional one day. This motivates her to practice musicas much as possible, which makes her value her free time very much.Using the model of individual choice, and assuming Angela accepts the job offer, graphicallyillustrate the impact on her choice of free time and consumption. Fully label your diagram. Notethat there are no actual numbers given in this question: you may make them up or simply useappropriate notations. Explain specifically its impact on the following:• Angela’s choice of free time• Angela’s consumption level• Angela’s utility levelEXERCISE 1Below is a production possibilities table for consumer goods (Food) and capital goods(Robots):A B C D EFood 0 1 2 3 4Robots 10 9 7 4 01. Show these data graphically. Upon what specific assumptions is this productionpossibilities curve based?2. If the economy is at point C, what is the cost of one more food? Of one morerobot? Explain how the production possibilities curve reflects the law ofincreasing opportunity costs.3. If the economy characterized by this production possibilities table and curvewere producing 3 food and 2 robots, what could you conclude about its use ofavailable resources?4. What would production at a point outside the production possibilities curveindicate? What must occur before the economy can attain such a level ofproduction?EXERCISE 2Explain how (if at all) each of the following affects the location of a country’s productionpossibilities curve:1. The quality of education increases.2. The number of unemployed workers increases.3. A new technique…
- Explain why individuals make Choices that are directly on the budget constraint, rather than inside the budget constraint DI outside it.Question Which scenario is not an example of marginal decision-making? Select the correct answer below: O Sam thinks about the effort that goes into making a sandwich, and the utility he gets for each sandwich he eats, to determine how many sandwiches to make. O For every hour that Dan is parked in the wrong parking lot, he receives a $3 fine. Dan weighs the cost of the $3 fine to the amount of money that he earns each hour, to determine if he should continue to park illegally. O At the theme park, Julie goes on the roller coaster as many times as she can - even if she starts to feel sick - because she wants to get her money's worth for her day pass. O Ron determines that ordering another slice of pizza will not be worth the price of the slice as he might not be able to finish it.Good Y Use this figure of a feasible frontier and a set of an agent's indifference curves to answer the following three questions: A B C D E Good X shot 2024-... i Q Q Economists use the symbol ">" to mean "is preferred to". For example, if for Ash JK, it means that they prefer J to K. Which of the responses below correctly indicates this agent's preferences over the five labeled points on the feasible frontier, listed from most preferred to least preferred? OD C B E A OC B D A E OB A C D E OE D C B>A OA B C D E