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A worker has daily a non-labor income of M euros and has 12 hours for leisure and labor activities. Her preferences for leisure-consumption are represented by the utility function u(h; c) = h^2c, where h denotes the number of hours of leisure she enjoys and c her consumption measured in euros.
The hourly wage is w euros.
Describe the workers problem, including its budget constraints, and calculate her demand of leisure and consumption, h(M; w) and c(M; w).
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