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?
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?
Chapter1: Making Economics Decisions
Section: Chapter Questions
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![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc4a24c2c-2c65-41fa-bb37-92ed95b32704%2Ffac960f6-a506-4ddb-87bd-6138789811a6%2Fq3qeon_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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?
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