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Laurent must decide how to allocate his 24-hour day between non-wage activities, leisure , and wage activities, labor . For every hour of labor that
Laurent must decide how to allocate his 24-hour day between non-wage activities, leisure, and wage activities, labor. For every hour of labor that he supplies he is paid by his employer $w.Laurent can purchase bottles of wine (y) at a price of $p per bottle (and wine is the only consumption good).Assume that both goods are normal.
- Assume that the bundle (l*,y*) is Laurent's best bundle on his budget line. Illustrate an indifference curve through (l*,y*) assuming that leisure and wine are neither perfect complements nor perfect substitutes.
Suppose that Laurent receives a raise and his wage rises to w?.
- In your diagram, illustrate his new budget line.
- In your diagram illustrate a new best bundle for Laurent assuming that the substitution effect was stronger than the income effect for leisure.
- In a new diagram, illustrate the new budget line and a new best bundle for Laurent assuming that the income effect was stronger than the substitution effect for leisure.
- Assume that you are told that the (wage) elasticity of his labor supply curve is -.2. Which of your diagrams is consistent with that information? Briefly explain why.
Finally let's assume that Laurent's preferences over leisure and wine can be represented by the following utility function: U(l,y) =2ln(l) +ln(y).
- Find Laurent's demand functions for leisure and wine.
- Given your demand function for leisure, what is his supply curve of labor? Illustrate his supply curve.
- What is the (wage) elasticity of his labor supply curve? Which effect was stronger - the substitution or the income effect?
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