Sheryl's preferences for consumption and leisure can be expressed as U(C, L) = (C – 100) × (L– 40). There are 110 (non-sleeping) hours in the week available to split between work and leisure. Sheryl earns $10 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a) Graph Sheryl's budget line. (b) What is Sheryl's marginal rate of substitution when L=$100 and she is on her budget line? (c) what is Sheryl's reservation wage?

Economics Today and Tomorrow, Student Edition
1st Edition
ISBN:9780078747663
Author:McGraw-Hill
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Chapter7: Demand And Supply
Section7.1: Demand
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6. Sheryl's preferences for consumption and leisure can be expressed as U(C, L) = (C – 100) ×
(L– 40). There are 110 (non-sleeping) hours in the week available to split between work and
leisure. Sheryl earns $10 per hour after taxes. She also receives $320 worth of welfare benefits
each week regardless of how much she works.
(a) Graph Sheryl's budget line.
(b) What is Sheryl's marginal rate of substitution when L=$100 and she is on her budget
line?
(c) what is Sheryl's reservation wage?
Transcribed Image Text:6. Sheryl's preferences for consumption and leisure can be expressed as U(C, L) = (C – 100) × (L– 40). There are 110 (non-sleeping) hours in the week available to split between work and leisure. Sheryl earns $10 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. (a) Graph Sheryl's budget line. (b) What is Sheryl's marginal rate of substitution when L=$100 and she is on her budget line? (c) what is Sheryl's reservation wage?
(d) Find Sheryl's optimal amount of consumption and leisure.
Transcribed Image Text:(d) Find Sheryl's optimal amount of consumption and leisure.
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