A firm sells its output Q for a price of p=1. It pays a fixed wage w to its single worker. Its worker produces Q(e)=24e units of output, where e is the worker's effort. The cost of effort is C(e)= 4e2. The firm pays a fixed wage only if the worker meets their target Q. If not, the worker is fired and takes an outside option of O. Treat all variables as continuous. Assume the firms pay the lowest fixed wage it can. What wage does it pay, so that the worker does not quit?

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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A firm sells its output Q for a price of p=1. It
pays a fixed wage w to its single worker. Its
worker produces Q(e)=24e units of output,
where e is the worker's effort. The cost of
effort is C(e)= 4e2. The firm pays a fixed wage
only if the worker meets their target Q. If not,
the worker is fired and takes an outside option
of O. Treat all variables as continuous. Assume
the firms pay the lowest fixed wage it can.
What wage does it pay, so that the worker
does not quit?
Transcribed Image Text:A firm sells its output Q for a price of p=1. It pays a fixed wage w to its single worker. Its worker produces Q(e)=24e units of output, where e is the worker's effort. The cost of effort is C(e)= 4e2. The firm pays a fixed wage only if the worker meets their target Q. If not, the worker is fired and takes an outside option of O. Treat all variables as continuous. Assume the firms pay the lowest fixed wage it can. What wage does it pay, so that the worker does not quit?
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