The government tax revenue is REV = tw*(t)N*(t). Among the options provided below, which tax rate yields the largest tax revenue? 0.25 (i.e. 25%) 0.5 (i.e. 50%) 0.75 (i.e. 75%) 0.99 (i.e. 99%) Consider the decisions of a representative consumer whose preferences are given by: u(C,1) = In C+ Inl where C is the quantity of consumption and 1 is the quantity of leisure. 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, consumer take wages as given and obtain after-tax labor income that is equal to w(1t)Ns where t is the income tax rate (0 < t < 1). Thus the consumer's budget constraint is given by C = w(1 − t)(1 − 1) + π where is the real dividend income received from the representative firm (i.e. firm profits).
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- Consider a utility function defined over hours of leisure and consumption expenditure: U(c, h) ch. The after- tax wage rate is given by w and the amount of nonwage income, by N. Assume the number of hours of leisure in a year is 8000. Potential annual income, I, is given by 1-8000wN. It is allocated over hours of leisure, which cost wh, and consumption expenditure, c. The budget constraint is thus 8000wN-cwh 0. 1. Find the demand functions for leisure and consumption. a. Write the Lagrangean function for this problem. b. Find the first order conditions. c. Solve the first order conditions to obtain the condition that the MRS wage rate. Show your steps in the solution. d. Use the results from c to obtain the expansion pathA4Now assume that the utility function takes the function form u(c) = ln(c). Note that the derivative of the natural logarthm is u'(c) = 1/c .
- 5. Consider a representative household in the static consumption-leisure model with prefer- ences given by u(c, 1) = Ac¹/² +1¹/2. The household has a unit time endowment given by 1 = 1+n, faces a price of P on consumption, and earns nominal wages at rate W on their labor supply, n. In addition, the household faces a proportional tax on wage income of T. (a) Interpret in words the economic significance of the exogenous parameter A. (b) Interpret in words the economic significance the unitary time endowment.solve this all these three subparts early i upvoteConsider the two period consumption savings problem faced by an individual whose utility is defined on period consumption. This utility function u(c) has the properties that it is strictly increasing and concave, u'(c) > 0, u"(c) < 0 (where u'(c) denotes the first derivative while u"(c) represents the second derivative) and satisfies the Inada condition lim.-→0 u'(c) approaches zero). The individual's lifetime utility is give by u(cı) + Bu(c2). In the first period of life, the individual has y1 units of income that can be either consumed or saved. In order to save, the individual must purchase bonds at a price of q units of the consumption good per bond. Each of these bonds returns a single unit of the consumption good in period 2. Total savings through bond purchases is s1 so that total expenditures on purchasing bonds is qs1. Let c1 denote the amount of consumption in period 1 chosen by the individual. In the second period of life, consumption in the amount c2 is financed out of the…
- James has a wage income of $50.000 in the present and $200.000 in the future. His utility is given as U = min (2Cp, Cr) - that is, his utility is the lesser of twice the dollars spent on present consumption or the dollars spent on future consumption. The interest rate is 30%. (A) What is the minimum amount of money James would be willing to accept today to have the interest rate at 40% rather than 30%? Explain and show work (B) What is the maximum amount of money James would pay today to have the interest rate at 30% rather than 40%? Explain and show workAssume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. Derive and plot the feasible set, between daily values of consumption c, and “leisure”, l. Label the values at the intercepts (the points where the feasible frontier cuts the two axes).Upgrading an Organization’s ComputersYour organization earns $50 million in annual sales, has 500 employees, andplans to acquire 250 new mobile computers this year along with another 250next year. The goal is to issue every employee a company-owned computer,which they can use at work and at home. The computers will be loaded withantivirus software and productivity software to meet each employee’s business needs. Your organization has decided it will purchase the computersfrom the same manufacturer to obtain a quantity purchase discount. To theextent possible, the goal is to have the same hardware and software foreveryone to simplify the troubleshooting and support of the computers. Thechief financial officer has asked you to lead a project team to define users’computer hardware needs and recommend the most cost-effective solutionfor meeting those needs. Critical Thinking Questions1. Who else (role, department) and how many people would you select to bea member of the team? How would…
- A3Assistance pleaseNeed help on part (d) and (e) 6. Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work, you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. a) Derive and plot the feasible set, between daily values of consumption c, and “leisure”, l. Label the values at the intercepts (the points where the feasible frontier cuts the two axes). b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves. c) Use indifference curves and the feasible set to show why, given the properties of the optimal choice in part b), it is not optimal to work, say, 10, or 6 hours per day. d) Now assume that you receive an income of £140 per week from an unknown benefactor. Show the impact on your feasible set, and show a new optimal choice in which consumption increases but labour supply decreases.…