6. Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. a) Derive and plot the feasible set, between daily values of consumption c, and "leisure", I. Label the values at the intercepts (the points where the feasible frontier cuts the two axes). b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves. c) Use indifference curves and the feasible set to show why, given the properties of the optimal choice in part b), it is not optimal to work, say, 10, or 6 hours per day. (continued on next slide)

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
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Hi I am having some trouble with the following questions 6 and these three subquestions can you please help?

The subquestions are a, b and c,

 

Thank you

6.
Assume you can work as many hours
you wish at £12 per hour (net of tax). If you do not work you have no
income. You have no ability to borrow or lend, so your consumption, c, is
simply equal to your income.
a) Derive and plot the feasible set, between daily values of consumption c,
and "leisure", I. Label the values at the intercepts (the points where the
feasible frontier cuts the two axes).
b) Assume that your optimal choice of consumption and leisure is to work 8
hours per day. Illustrate this choice diagrammatically using the feasible set
and indifference curves.
c) Use indifference curves and the feasible set to show why, given the
properties of the optimal choice in part b), it is not optimal to work, say,
10, or 6 hours per day. (continued on next slide)
Transcribed Image Text:6. Assume you can work as many hours you wish at £12 per hour (net of tax). If you do not work you have no income. You have no ability to borrow or lend, so your consumption, c, is simply equal to your income. a) Derive and plot the feasible set, between daily values of consumption c, and "leisure", I. Label the values at the intercepts (the points where the feasible frontier cuts the two axes). b) Assume that your optimal choice of consumption and leisure is to work 8 hours per day. Illustrate this choice diagrammatically using the feasible set and indifference curves. c) Use indifference curves and the feasible set to show why, given the properties of the optimal choice in part b), it is not optimal to work, say, 10, or 6 hours per day. (continued on next slide)
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