A maximizing worker has preferences u(z, f) = z1/2f1/2. She has been offered a job paying a wage of 5 dollars an hour. Her parents are concerned that she will over work, after all she is only 15. They plan to reduce her non-labour income (allowance) to a level where she will work only 4 hours per day. What is the appropriate level to allowance to achieve this goal.
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