Each person tries to balance his or her time between leisure and work. The tradeoff is that as you work less your income falls. Therefore each person has indifference curves which connect the number of hours of leisure, , and income, . If, for example, you are indifferent between 0 hours of leisure and an income of $1125 a week on the one hand, and 10 hours of leisure and an income of $750 a week on the other hand, then the points , , and , both lie on the same indifference curve.

The table below gives information on three indifference curves, I, II, and III.

Weekly Income Weekly Leisure Hours
 I  II  III  I  II  III 
11251250137502040
7508751000103050
500625750204060
375500625305070
250375500507090

(a) On a sheet of paper, or using a calculator or other technology, graph the three indifference curves. (You will need these to answer part (d) of this problem.)

(b) You have 95 hours a week available for work and leisure combined, and you earn $21.45/hour. Write an equation in terms of and which represents this constraint.
constraint:

(c) Graph this constraint with your graph of the indifference curves.

(d) Estimate from the graph what combination of leisure hours and income you would choose under these circumstances.
leisure hours =
weekly income =

What is the corresponding number of hours per week you would work?
work hours =

You can earn partial credit on this problem.