4) Consider the following scenario: Juliet faces 200 Total Hours to devote to Labor or Leisure. She faces a wage of $10 and has no non-labor income. Her preferences are given by the utility curve U(C,L)=C% L% a. What are her optimal hours worked and consumption choice? b. What is Juliet's reservation wage? c. Now assume the government is offering a "take-it-or-leave-it" grant of $625 for anyone who isn't working. What is her optimal hours worked and consumption choice in this scenario? d. Now assume instead the government is offering $625 for non-working individuals, but taxes it away at a rate of 50% for each dollar earned. Graph the budget constraint and find the new optimal hours worked and consumption choice. e. Between (a), (b), and (c) which scenario has Juliet the most well-off? Between (b) and (c) which scenario is most costly (in terms of grants paid) to the government?

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4) Consider the following scenario: Juliet faces 200 Total Hours to devote to Labor
or Leisure. She faces a wage of $10 and has no non-labor income. Her
preferences are given by the utility curve U(C,L)=C¾ L¼
a. What are her optimal hours worked and consumption choice?
b. What is Juliet's reservation wage?
c. Now assume the government is offering a "take-it-or-leave-it" grant of
$625 for anyone who isn’t working. What is her optimal hours worked
and consumption choice in this scenario?
d. Now assume instead the government is offering $625 for non-working
individuals, but taxes it away at a rate of 50% for each dollar earned.
Graph the budget constraint and find the new optimal hours worked and
consumption choice.
e. Between (a), (b), and (c) which scenario has Juliet the most well-off?
Between (b) and (c) which scenario is most costly (in terms of grants paid)
to the government?
Transcribed Image Text:4) Consider the following scenario: Juliet faces 200 Total Hours to devote to Labor or Leisure. She faces a wage of $10 and has no non-labor income. Her preferences are given by the utility curve U(C,L)=C¾ L¼ a. What are her optimal hours worked and consumption choice? b. What is Juliet's reservation wage? c. Now assume the government is offering a "take-it-or-leave-it" grant of $625 for anyone who isn’t working. What is her optimal hours worked and consumption choice in this scenario? d. Now assume instead the government is offering $625 for non-working individuals, but taxes it away at a rate of 50% for each dollar earned. Graph the budget constraint and find the new optimal hours worked and consumption choice. e. Between (a), (b), and (c) which scenario has Juliet the most well-off? Between (b) and (c) which scenario is most costly (in terms of grants paid) to the government?
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