Case Study

Optimizing Household Choices Under a New Wage Structure

A two-person household, Alex and Ben, jointly decide on their work hours. Initially, both earn $20 per hour and can work up to 80 hours per month each. They have no other source of income. Their initial choice results in a total consumption of $2000 per month. Now, due to a discriminatory policy, Alex's wage is cut to $10 per hour, while Ben's wage remains $20 per hour. The household decides they want to try and maintain their consumption level of $2000. First, determine a new combination of work hours for Alex and Ben that would achieve this $2000 consumption goal. Second, analyze whether this new combination of hours is likely to be their new optimal choice. Explain your reasoning by considering how the change in wages affects the opportunity cost of leisure for each person.

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Updated 2025-08-09

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