Problem #3: Labor Unions (20 points) Sarah is thinking if she should join the labor union in their company. Her utility function is U (c, 1) = (cl)05, where c denotes consumption, and I denotes leisure. She has 16 hours each day to allocate between work and leisure. 1. Given her non-labor income is zero, how many hours will Sarah work at $7 wage/hour? In addition, how much consumption and leisure can she afford, and how much utility can she achieve from this? 2. If the labor unioh bargains for a $10.5 overtime pay rate for work hours beyond 8 hours, will Sarah benefit from this proposal? 3. If, instead, the labor union proposes an 8-hour workday, will Sarah benefit from it?

Consider the following production function: Currently the wage rate (w) is $5.00 and the price of capital (r) is $5.00. If the firm is using 20 units of capital in production, how much labor should be employed to minimize costs? Labor input = units. (Enter a numeric response using a real number rounded to two decimal places.) q=100L0.80.4

stion 11 of 15 > O Macmillan Learning The Core Principles of Economics - End of Chapter Problem Aliyah is preparing to expand her IT consulting company. The current market rate for IT professionals is $58,000 per year. Each employee she hires will also require a computer and equipment that costs $6,000 per employee annually. Hiring more employees means that Aliyah can provide consulting services to more clients each year. Each client Aliyah has will pay her $10,000 per year. The number of clients Aliyah can take on is dependent on the number of workers she hires and is depicted in the accompanying table. a. The first worker's marginal cost is $ c. The second worker's marginal cost is $ E Use this information to calculate the marginal cost and the marginal benefit of hiring each worker. Number of workers 0 1 2 3 4 Clients per year 0 11 20 27 32 b. The first worker's marginal benefit is $ d. The second worker's marginal benefit is $ F

You are looking for an apartment to rent. You know that searching for apartment to rent on the internet will help you find an apartment with a lower rental. The price you will pay with hours of internet search are given in the table below. If your hourly wage is $10, what is your optimal number of hours spent conducting internet search for apartment to rent?

Suppose that Tim runs his own lawn care service and that his firm is competitive in the lawn care industry. He has a fixed number of tools that can be used to maintain a yard, but he needs to determine the productivity gained from hiring various numbers of workers per week. Which of the following statements best represents the idea behind the marginal product of labor ( MPL )? When Tim hires more workers, he can mow more lawns per week, but at a decreasing rate. If Tim hires twice as many workers per week, he can mow twice as many lawns per week. If Tim buys one more lawn mower, he can mow 13 more lawns per week. If Tim hires an additional worker per week, he can mow 11 more lawns per week. The following graph portrays the weekly total product curve for lawn mowing given a fixed amount of capital and varying labor inputs. (Note: Each black point (plus symbol) represents a point on the total product curve.) 100 90 во 70 60 50 40 30 20 10 xxxx_ Total Product ° 0 1 2 4 5 7 8 10 LABOR…

Could you please solve the question below and show solution. Thanks!

Weiwei gets a part-time job in high school that pays $5 per hour with flexible hours. Shechooses to work 6 hours per week, earning $30 per week. After a while, her job reduces herpay to $4 an hour. In response, she cuts back to working 5 hours per week, earning only$20 per week. Weiwei’s parents feel bad about the pay cut, and decide to give her a weeklyallowance, in cash, to make up for it. If they want to get her back to her old utility level,how much should they give her and why?  (Select one answer from below) : (a) $10: that is her total amount of lost earnings(b) Between $10 and $6: that is the income effect minus the substitution effect(c) Between $10 and $6: leisure is a luxury good for high school students(d) $6: that is how much she would have lost if she kept working 6 hours(e) $5: the substitution effect offsets the change in labor hours(f) Between $6 and $0: she will substitute away from labor at the old bundle(g) Between $5 and $0: a pay cut is like a negative in-kind…

Ian works at an iron smelter in Pittsburgh, the center of iron production in America. Due to the difficulty in measuring the productivity of individual employees, Ian's employer as well as the other iron smelters all pay an efficiency wage. Adjust the wage line on the graph to reflect this situation. What characteristic of efficiency-wage jobs is not supported by the situation shown in the graph? The wage rate will eventually return to the market-clearing level. Efficiency wages result in an increase in the rate of unemployment. Elevated wages serve as an economic incentive to work harder. Efficiency wage jobs result in a surplus of workers at the wage being offered. Wage ($ per hour) Wage Quantity of workers (in thousands) S O

1. Suppose a short-run production function is described as Q40L 0.04L2 where L is the number of labors used each hour.

Edie chooses to work 90 hours per week when the wage rate is $16 per hour. If she is offered time-and-a-half ($24 per hour) for “overtime work” (i.e., hours in excess of 90 per week), will she choose to work longer hours? Support your results with a diagram.