A country has the following welfare program for helping the poor. Each person has the right to a benefit of G euro per month, but for each euro someone earns, the benefit is reduced with t euro. Suppose that G 600 and t 0.4. Consider Betty, who can work for an hourly wage of 10 euro. Assume that a month has 30 days (such that total number of hours T 720). (a) What is the break-even point of the welfare program, in terms of earnings and hours worked? (b) What is the mathematical expression of the budget constraint under the welfare program? Sketch Betty's budget constraint with and without the existence of the welfare program. Now suppose that Betty's utility of income (in euro's) Y and leisure (in hours) L equals U = Y}L! (c) What is Betty's optimal amount of leisure if there would be no welfare

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Chapter16: Labor Markets
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A country has the following welfare program for helping the poor. Each person
has the right to a benefit of G euro per month, but for each euro someone earns,
the benefit is reduced with t euro. Suppose that G = 600 and t = 0.4. Consider
Betty, who can work for an hourly wage of 10 euro. A ssume that a month has
30 days (such that total number of hours T = 720).
(a) What is the break-even point of the welfare program, in terms of earnings
and hours worked?
(b) What is the mathematical expression of the budget constraint under the
welfare program? Sketch Betty's budget constraint with and without the
existence of the welfare program.
Now suppose that Betty's utility of income (in euro's) Y and leisure (in hours)
L equals
U = Y}L!
(c) What is Betty's optimal amount of leisure if there would be no welfare
program?
Transcribed Image Text:A country has the following welfare program for helping the poor. Each person has the right to a benefit of G euro per month, but for each euro someone earns, the benefit is reduced with t euro. Suppose that G = 600 and t = 0.4. Consider Betty, who can work for an hourly wage of 10 euro. A ssume that a month has 30 days (such that total number of hours T = 720). (a) What is the break-even point of the welfare program, in terms of earnings and hours worked? (b) What is the mathematical expression of the budget constraint under the welfare program? Sketch Betty's budget constraint with and without the existence of the welfare program. Now suppose that Betty's utility of income (in euro's) Y and leisure (in hours) L equals U = Y}L! (c) What is Betty's optimal amount of leisure if there would be no welfare program?
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