Jeff, Alan, and Katie all work for the same employer at an hourly wage rate of wo-$24. All three of them have T=100 hours of weekly time endowment and non-labor income of IN=$0. Their preferences over consumption and leisure are as follows: Jeff: U (c, l) = cl² Alan: U(c, l) = min {c, 241} Katie: U (c, l) = c + 221 Based on the consumption-leisure model, solve for Jeff, Alan, and Katie's optimal consumption and leisure choices: (cf, lj), (c lÃ), and (ck, lk), respectively. For each worker, graphically illustrate their optimal consumption and leisure choices by drawing the indifference curve and budget constraint and labeling their respective optimal bundle (use separate graphs for each worker). What are the optimal working hours for each worker?

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Chapter1: Making Economics Decisions
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Jeff, Alan, and Katie all work for the same employer at an hourly wage rate of wo-$24.
All three of them have T=100 hours of weekly time endowment and non-labor income of IN=$0. Their
preferences over consumption and leisure are as follows:
= cl²
Jeff: U (c, l)
Alan: U(c, l) = min {c, 241}
Katie: U(c, l) = c +221
Based on the consumption-leisure model, solve for Jeff, Alan, and Katie's optimal
consumption and leisure choices: (c†, lj), (C‚ lå), and (ck, lk), respectively. For each worker,
graphically illustrate their optimal consumption and leisure choices by drawing the indifference
curve and budget constraint and labeling their respective optimal bundle (use separate graphs for
each worker). What are the optimal working hours for each worker?
Transcribed Image Text:Jeff, Alan, and Katie all work for the same employer at an hourly wage rate of wo-$24. All three of them have T=100 hours of weekly time endowment and non-labor income of IN=$0. Their preferences over consumption and leisure are as follows: = cl² Jeff: U (c, l) Alan: U(c, l) = min {c, 241} Katie: U(c, l) = c +221 Based on the consumption-leisure model, solve for Jeff, Alan, and Katie's optimal consumption and leisure choices: (c†, lj), (C‚ lå), and (ck, lk), respectively. For each worker, graphically illustrate their optimal consumption and leisure choices by drawing the indifference curve and budget constraint and labeling their respective optimal bundle (use separate graphs for each worker). What are the optimal working hours for each worker?
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