Suppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with worker’s compensation and has decided to cut the wages of its two employees (Albert and Sid) from $25 per hour to $22 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Draw each worker’s opportunity set for each hourly wage. At the wage of $25 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and, equivalently, supply 12 hours of labor). After wages were cut to $22, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure. Determine the number of hours of labor each worker supplies at a wage of $22 per hour. How can you explain the seemingly contradictory result that the workers supply a different number of labor hours? (L

Suppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with worker’s compensation and has decided to cut the wages of its two employees (Albert and Sid) from $25 per hour to $22 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Draw each worker’s opportunity set for each hourly wage. At the wage of $25 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and, equivalently, supply 12 hours of labor). After wages were cut to $22, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure. Determine the number of hours of labor each worker supplies at a wage of $22 per hour. How can you explain the seemingly contradictory result that the workers supply a different number of labor hours? (L

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter16: Labor Markets

Section: Chapter Questions

Problem 16.11P

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Suppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with worker’s compensation and has decided to cut the wages of its two employees (Albert and Sid) from $25 per hour to $22 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Draw each worker’s opportunity set for each hourly wage. At the wage of $25 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and, equivalently, supply 12 hours of labor). After wages were cut to $22, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure. Determine the number of hours of labor each worker supplies at a wage of $22 per hour. How can you explain the seemingly contradictory result that the workers supply a different number of labor hours?
Suppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with workers’ compensation and has decided to cut the wages of its two employees (Albert and Sid) from $23 per hour to $20 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Albert and Sid's opportunity set is presented below: "The horizontal axis labeled leisure hours ranges from 0 to 30 in increments of 5. The vertical axis is labeled income. A line begins at point A on the vertical axis goes down to the right and ends at the point (25, 0)." What is the value of A when the wage is $23? (Assume a 24-hour work day.) What is the value of A when the wage is $20? (Assume a 24-hour work day.) At the wage of $23 per hour, both Albert and Sid are observed to consume 13 hours of…
Suppose that the owner of Boyer Construction is feeling the pinch of increased premiums associated with workers' compensation and has decided to cut the wages of its two employees (Albert and Sid) from $21 per hour to $17 per hour. Assume that Albert and Sid view income and leisure as "goods," that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Albert and Sid's opportunity set is presented below: Albert and Sid's Opportunity Set Income 0 5 10 15 20 25 30 Leisure Hours What is the value of A when the wage is $21? (Assume a 24-hour work day.) What is the value of A when the wage is $17? (Assume a 24-hour work day) At the wage of $21 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and equivalently supply 12 hours of labor). After wages were cut to $17, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure.…
Suppose that the owner of Boyer Construction is feeling the pinch of incrs associated with worker’s compensation and has decided to cut the wages of its two employees (Albert and Sid) from $25 per hour to $22 per hour. Assume that Albert and Sid view income and leisure as “goods,” that both experience a diminishing rate of marginal substitution between income and leisure, and that the workers have the same before- and after-tax budget constraints at each wage. Draw each worker’s opportunity set for each hourly wage. At the wage of $25 per hour, both Albert and Sid are observed to consume 12 hours of leisure (and, equivalently, supply 12 hours of labor). After wages were cut to $22, Albert consumes 10 hours of leisure and Sid consumes 14 hours of leisure. Determine the number of hours of labor each worker supplies at a wage of $22 per hour. How can you explain the seemingly contradictory result that the workers supply a different number of labor hours? (LO2, LO3, LO7)
Susan obtains utility by consuming carrots C and enjoying leisure L. Suppose that she has a daily non-wage income Y of £100 and is paid a fixed hourly wage rate of £10 for every hour she works in a local coffee shop. Assume that Susan is a utility maximiser and is free to choose x hours of work per day where 0 ≤ x ≤ 10. Assume also that the unit price of C is £1. a) Suppose that L is measured on the horizontal axis and C on the vertical axis. Use these axes to draw the set of all C and L combinations that Susan can choose from. Write down Susan’s budget equation. b) Suppose that Susan’s preferences over carrots and leisure are expressed by the following utility function: U(C,L) = min{C, 10L}. Calculate Susan’s optimal consumption bundle, both algebraically and graphically. Calculate the value of MRS at the optimal choice. c) Suppose instead that Susan’s preferences are such that indifference curves in the L-C space are strictly convex to the origin, and that she chooses to work 5…
Consider two individuals, Carole and Mo, who each have a job opportunity that pays a wage of $20 per hour and allows them to choose the number of hours per week they'd like to work. Carole has stronger preferences for leisure than Mo. Ultimately, both Carole and Mo choose to work more than zero hours per week. Draw (and upload) one graph that includes: • Carole and Mo's income-leisure constraint • Carole's utility-maximizing indifference curve (Uc) and choice of leisure hours (Lc) • Mo's utility-maximizing indifference curve (UM) and choice of leisure hours (LM) [Note: There are multiple, though similar, ways to draw this graph. Focus on ensuring that the constraint, indifference curves and hours worked align with the information provided above.]
Sheila's income and leisure preferences can be expressed by U(Y, L) = 2 x (YL - 40Y - 100L) This utility function implies that Sheila's marginal utility of leisure is 2Y - 200 and her marginal utility of income 2L-80. In a week, there are 168 hours available for her to allocate between work and leisure. Sheila earns $10 per hour after taxes and receives $120 worth of welfare benefits each week during the pandemic regardless of how many hours she decides to work. Assume that the price index is 1. a) What is Sheila's budget line? b) What is Sheila's marginal rate of substitution when L = 100 and she is on her budget line? c) What is Sheila's optimal relationship between income and labour hours? d) What is Sheila's optimal amount of labour hours, leisure hours, and income? e) At the optimal allocation, what is Sheila's utility level? Show your work.
John works in a shoe factory. He can work as many hours per day as he wishes at a wage rate w. Let C be the amount of dollars he spends on consumer goods and R. be the number of hours of leisure that he chooses. John's preferences are represented by U(C, R) = CR utility function Question 2 Part a John earns $8 an hour and has 18 hours per day to devote to labor or leisure, and he has $16 of nonlabor income per day. Draw John's indifference curves, budget constraints and solve for his optimal consumption and leisure choices.
2. a. Draw the daily budget constraint of a consumer who has 24 hours in their day, and can earn a wage of $20 an hour for every hour chosen to work (and not consumed as leisure). They can spend their income on a composite good c that costs $8 per unit. This consumer also receives $100 from their supportive parents every day. b. If this consumer's utility function for leisure (r) and c is given by U (r, c) = rc, calculate this consumer's optimal bundle.
Assume Lorena derives utility from consumption and leisure. Through the following utility function. U=VC-R where C is consumption and R is hours of leisure consumed per day (there are 24 hours in her day). Let w be the wage rate and H be the hours of work chosen. The price of consumption goods, C, is $1. In addition, assume Lorena has $M amount of non- wage income each day. Set up the utility maximizing Lagrangian needed to maximize utility subject to the budget constraint but do not solve for the demand for C and R. a b. Draw the consumer choice model for this situation (fully label the graph). Use it to graphically derive/describe/explain her labor supply function and explain what would be true for her labor supply to rise or fall when the wage rises (you may want to draw the graph twice. Measure and explain the loss in consumer surplus using the concept of compensating variation. g. h. What is the expenditure-price elasticity equation for y? That is, the elasticity for the % change…
Each day, Luke must decide his leisure hours, L, and his consumption, C. His utility function is given by the following equation U(L, C) = (C – 30)(L – 12). Luke receives $50 welfare payment per day. Show all the steps, with definition of every new notation used in the steps. a) Suppose that Luke's hourly wage is $5. Find Luke's daily budget constraint equation and graph it. b) If Luke's wage is $5 per hour worked, what is Luke's optimal consumption, (L*, C*)? · c) Assume that the wage is an unknown variable, w. What is Luke's leisure demand L(w)?- d) What is Luke's reservation wage, the lowest wage Luke is willing to work for? -
What is the budget line for consumption (C) and leisure (L) if a person faces a constant wage of $12 per hour, there are 110 hours in the week to work, and she receives nonlabor income of $300 per week?