An individual has a total of 100 days to allocate between work and free time. They earn $20 for each day they work. Additionally, they receive a one-time payment of $1,000 at the beginning of the period, which they get regardless of how many days they work. Which equation correctly represents their budget constraint, where c is total consumption over the period and t is the number of days of free time?
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An individual has a total of 100 days to allocate between work and free time. They earn $20 for each day they work. Additionally, they receive a one-time payment of $1,000 at the beginning of the period, which they get regardless of how many days they work. Which equation correctly represents their budget constraint, where
cis total consumption over the period andtis the number of days of free time?An individual has a total of 1,000 hours to allocate between work and free time over a specific period. If this individual's unearned income for the period doubles, while their hourly wage and total available hours remain constant, the maximum total consumption they can achieve by taking zero free time will also double.
Comparing Compensation Plans
An individual has a total of 2,000 hours per year to allocate between work and free time and initially has no unearned income. The individual then receives a promotion that increases their hourly wage by 15%. Simultaneously, they begin receiving a fixed annual payment from a trust fund, which is not dependent on the hours they work. How do these two changes affect the opportunity cost of one hour of free time and the total consumption achievable if they choose to take zero free time?
An individual's budget constraint over a one-year period is represented by the equation
c = 40(3000 - t) + 2500, wherecis total consumption in dollars andtis the total hours of free time taken during the year. What is the opportunity cost of taking one additional hour of free time?