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A firm requires 96 units of good Q. The firm can only hire one worker to produce these 96 units. The firm pays its worker a fixed wage. The worker’s production function is Q(e) = 24e The worker’s effort cost function is C(e) = 4e² The worker gets 0 if unemployed. Treat the good as continuous. Assume the firms pay the lowest fixed wage it can. What wage does it pay?

A firm requires 96 units of good Q. The firm can only hire one worker to produce these 96 units. The firm pays its worker a fixed wage. The worker’s production function is Q(e) = 24e The worker’s effort cost function is C(e) = 4e² The worker gets 0 if unemployed. Treat the good as continuous. Assume the firms pay the lowest fixed wage it can. What wage does it pay?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A firm requires 96 units of good Q.

The firm can only hire one worker to produce these 96 units.

The firm pays its worker a fixed wage.

The worker’s production function is Q(e) = 24e

The worker’s effort cost function is C(e) = 4e²

The worker gets 0 if unemployed.

Treat the good as continuous.

Assume the firms pay the lowest fixed wage it can. What wage does it pay?

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