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, and you are considering a self-employment opportunity that may pay $10,000 per year or $40,000 per year with equal probabilities. What certain income would provide the same satisfaction as the expected utility from the self-employed position?
a) $22,500
b) $15,000
c) $27,500
d) $25,00
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Solved in 3 steps
- Describe the effect that higher income has on life expectancy in terms of relative length and resources.5. As a hypothetical case, suppose the typical individual has a utility function expressed as U = (C – 50)*(L – 10), where C is consumption and L is leisure time. The current wage, w, is $5 and she has a weekly return on assets of V = $100. She only has 60 hours per week to divide between work hours, h, and Leisure. A number of countries and communities are considering implementing a "Guaranteed Basic Income" as policy. A "Guaranteed Basic Income" is a government payment of a fixed a amount of money for each person Suppose the country of interest sets the weekly payment at $100. i) Using the Neo-classical labor supply with reference to specific numerical values discuss the consequences of the above "Guaranteed Basic Income". ii) Using the basic Supply and Demand for labor approach discuss the consequences of the "Guaranteed Basic Income" policy on the overall labor market. iii) Using a feedback approach, from the Neo-classical labor supply to market equilibrium and back to labor…Oscar and Gwen live in Portland. Oscar’s net present value of lifetime earnings in Portland is $135,000, while Gwen’s is $450,000. The cost of moving to Memphis is $25,000 per person. In Memphis, Oscar’s net present value of lifetime earnings would be $145,000, while Gwen’s would be $520,000. If Oscar and Gwen choose where to live based on their joint well-being, will they move to Memphis? Is Oscar a tied-mover or a tied-stayer or neither? Is Gwen a tied-mover or a tied-stayer or neither?
- Consider the representative consumer who decides consumption and leisure. Theenvironment is the same as in Lecture 5. Keep the same notation. The preference is givenby U (C,L) = αln C + (1 −α) ln L. Assume h = 1, i.e., the time endowment is one day.(a) Write down the utility maximization problem.(b) Derive the demand for consumption and the supply for labour.(c) Suppose the non-wage income π −T increases while the wage rate w falls at the sametime. The size of the changes can be different. Determine the effects on consumptiondemand and labour supply (i.e., leisure demand). Use the indifference map to explainyour results in terms of income and substitution effects for the following cases:(i) The increase in π −T exactly cancels out the drop in w, i.e., |∆ (π −T)|= |∆w|.(ii) The increase in π −T is greater than the drop in w, i.e., |∆ (π −T)|> |∆w|.(iii) The increase in π −T is smaller than the drop in w, i.e., |∆ (π −T)|< |∆w|.(d) Suppose the utility function is Cobb-Douglas: U…23. A worker has utility over consumption c and leisure I given by U(c,1) = a 6-6 + 18 where 0 << 1 She has T hours to allocate between leisure and work. For each hour she works, she earns a wage of w to spend on consumption c. The price of c is 1. She also receives an additional 'non-labor income' m regardless of how much she works. She maximizes utility subject to the following constraints: contact@cloure.m Assume interior solution, then cw(T-1) +m C≥O 0≤1≤T A. c is normal and I is inferior good. B. c is inferior and I is inferior good. C. c is inferior and I is normal good. D. c is normal and I is normal good. Page 8Case B: Jessie Pharmacy. Jessie, a pharmacist, is planning on opening her own pharmacy. Jessie Pharmacy is expected to generate yearly revenue of $500,000. Jessie will run the pharmacy herself on full-time basis. Jessie’s alternative employment options are as follows: Continue to work as a senior medical representative for $50,000 per year. Accepts a research position in another company for $70,000 per year. Jessie expects to spend $350,000 per year on purchasing drugs and cosmetics for resale to her customers. She will also need to hire three employees: an assistant, an accountant and a custodian, for whom the total salaries to be paid are expected to be $48,000 per year. Jessie owns the building in which her pharmacy is supposed to be; however, she could rent out the pharmacystore space for $42,000 per year. Calculate Jessie’s accounting profit and economic profit. In your opinion, should Jessie proceed with opening her own pharmacy? Justify your answer
- A worker , who satisfies our normal assumptions , is indifferent between consuming 4 units of leisure while earning 100 dollars and consuming 12 units of leisure while earning 40 dollars . If both bundles are feasible , is this worker maximizing utility ? Why or why not ?solve this all these three subparts early i upvoteI JUST WANT THE DIAGRAM FOR EACH PART. PLEASE DRAW THE DIAGRAMS, DONT TYPE IT!!!!!! WRONG ANSWERS WILL BE REPORTED. Consider the representative consumer who decides consumption and leisure. The preference is given by U (C,L) = αln C + (1 −α) ln L. Assume h = 1, i.e., the time endowment is one day. Suppose the non-wage income π −T increases while the wage rate w falls at the same time. The size of the changes can be different. Determine the effects on consumption demand and labour supply (i.e., leisure demand). Use the indifference map to explain your results in terms of income and substitution effects for the following cases: (i) The increase in π −T exactly cancels out the drop in w, i.e., |∆ (π −T)|= |∆w|. (ii) The increase in π −T is greater than the drop in w, i.e., |∆ (π −T)|> |∆w|. (iii) The increase in π −T is smaller than the drop in w, i.e., |∆ (π −T)|< |∆w|.
- Consider a worker who consumes one good and has a preference for leisure. She maximizes the utility function u(x, L) = xL, where a represents consumption of the good and L represents leisure. Suppose that this worker can choose any L € [0, 1], and receives income w(1 – L); w represents the wage rate. Let p denote the price of the consumption good. In addition to her wage income, the worker also has a fixed income of y ≥ 0. (a) Write down the utility maximization problem for this consumer. Solution: The problem is max x L s.t. px ≤w(1 L) + y. x>0, LE [0,1] The budget constraint may also be written with equality since preferences are monotone. (b) Find the Marshallian demands for the consumption good and leisure. Solution: Using FOCs will find the maximum since preferences are Cobb-Douglas (and therefore convex). Dividing the FOCs L= Xp and x = Xw gives wL = px. Substituting into the budget constraint and checking the restriction L = [0, 1], we get and x(p, w, y) L(p, w, y) = = = 1 w+y…3. In the upcoming year, the income from your current job will be $50,000. There is a 0.5 chance that you will keep your job and earn this income, and 0.2 chance that you will get a rise and earn 75,000. However, there is 0.3 chance that you will be laid off, putting you out of work for a time and forcing you to accept a lower paying job. In this case, your income is $25.000. The expected value of your income is thus $47,500. a) If your utility function has the formula 5001 - 0.0002f, determine the risk premium associated with this lottery. b) Provide an interpretation of the risk premium in this particular example.Kevin has a wage income of $10,000 in the present and $15,000 in the future. His utility is given as U = min (4cp, 5cf), where cp denotes consumption today and cf consumption in the future. The relevant interest rate is 10%. a. If the interest rate were to increase to 15 percent,would Kevin be better off or worse off? Explain. b. Find two measures to indicate how much better off or worse off Kevin is as a result of the increase in interest rates. Explain.