Carol and Brent are a two-person household. Carol's market hourly wage is $50, but Carol can also produce $30 of household production each hour. Brent's market hourly wage is $40, but Brent can also produce $20 of household production each hour. This household chooses work schedules to maximize utility. When it does this, which of the following cannot occur?    a. Carol specializes in marketplace work, while Brent splits time between marketplace and household work.

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