Lesson preview · Labor Supply
The Leisure-Work Trade-Off
~6 min · Free to read
Emily has 24 hours in her day. She earns 20 dollars an hour at her bakery job, picks 8 hours of work, and keeps 16 hours for sleep and everything else. The 8-hour choice isn’t arbitrary — she’s trading hours of leisure (everything that isn’t work) for dollars of consumption (the goods her wage buys). Every extra hour she works is one less hour of leisure. The wage is the price tag on her leisure: each hour off costs her 20 dollars of foregone income.
When her wage rises, she has to redo the trade. That’s the leisure-work choice — and it’s how the entire labor supply curve gets built.
Key Term
The leisure-work framework
The worker picks consumption and leisure to maximise utility , subject to:
- Time constraint: where is total time (24 hours).
- Budget constraint: . Hours not worked × wage = income foregone.
The wage is the price of leisure. An extra hour off costs exactly in lost earnings.
Daily consumption = wage × hours worked = wage × (24 − leisure).
When the wage rises, two forces pull Emily in opposite directions.
- Substitution effect. Leisure just got more expensive (every hour off now costs more foregone income). She substitutes away from leisure toward more work.
- Income effect. A higher wage makes her richer at any number of hours. Like most goods, leisure is normal — when she’s richer she wants more of it. So she wants to work less.
At the wages most people face, the substitution effect wins on net. That’s why typical labor supply curves slope upward: raise the wage, hours go up.
The right panel makes the punchline visible: the labor supply curve isn’t a thing in itself — it’s the trail of optimal choices a worker would make at different wages. Each dot comes from a separate leisure-consumption optimisation. Tracing them out gives the upward-sloping individual supply curve.
Worked Example
Emily earns 20 dollars/hour and works 8 hours/day (so 16 hours of leisure). Her wage rises to 30 dollars/hour. The substitution effect adds 2 hours of work, the income effect subtracts 1 hour. What is her new schedule?
Check yourself · no marks
Why is the wage the opportunity cost of leisure?
Commit to one first. Guessing and being wrong beats reading the answer cold.
Practice · 1 / 4
The opportunity cost of an hour of leisure is:
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