Question 3: Shelly's preferences for consumption and leisure can be expressed as: U(C, L) = (C-200) × (L-80) This utility function implies that Shelly's marginal utility of leisure is C -200 and her marginal utility of consumption is L- 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a): Graph Shelly's budget constraint. (b): What is Shelly's marginal rate of substitution when L=100 and she is on her budget line?

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Question 3:
Shelly's preferences for consumption and leisure can be expressed as:
U(C, L) = (C-200) × (L-80)
This utility function implies that Shelly's marginal utility of leisure is C -200 and her marginal
utility of consumption is L - 80. There are 168 hours in the week available to split between work
and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits
each week regardless of how much she works.
(a): Graph Shelly's budget constraint.
(b): What is Shelly's marginal rate of substitution when L = 100 and she is on her budget line?
Question 4:
The utility function of a worker is represented by U(C, L) = C x L. Suppose this person currently
has a weekly income of $600 and choose to enjoy 70 hours of leisure per week. How many ad-
ditional dollars of income would it take to entice the worker to work 10 more hours?
Transcribed Image Text:Question 3: Shelly's preferences for consumption and leisure can be expressed as: U(C, L) = (C-200) × (L-80) This utility function implies that Shelly's marginal utility of leisure is C -200 and her marginal utility of consumption is L - 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a): Graph Shelly's budget constraint. (b): What is Shelly's marginal rate of substitution when L = 100 and she is on her budget line? Question 4: The utility function of a worker is represented by U(C, L) = C x L. Suppose this person currently has a weekly income of $600 and choose to enjoy 70 hours of leisure per week. How many ad- ditional dollars of income would it take to entice the worker to work 10 more hours?
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