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Initially assume that the individual has a wage rate of $10 and no other sources of income. In the chart below, there are 16 hours

Initially assume that the individual has a wage rate of $10 and no other sources of income. In the chart below, there are 16 hours each day to devote to leisure or working (the other 8 hours are spent sleeping).

Leisure hours per day Value of an additional leisure hour Working hours Daily income Value of $1 additional dollar
$280 5
$240 6
$200 7
0 600 utils 16 $160 9
2 500 utils 14 $140 15
4 400 utils 12 $120 25
6 300 utils 10 $100 35
8 200 utils 8 $80 45
10 100 utils 6 $60 55
12 50 utils 4 $40 65

1. What is the optimal number of working hours? (choose whichever is best from 2, 4, 6, 8, 10 or 12). Explain your reasoning.

2. If she gets $40 per day in inherited income, what is the new optimum? Explain.

3. Suppose her wage goes up to $20 per hour (and she doesn't inherit the $40 per day)? What is the new optimum? Explain why.

4. Explain the income and substitution effect in this context.

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