B. Albert works for a construction company. He has 70 hours a week available to divide between construction work and leisure, and he has no other sources of income. Albert is allowed to work as many hours (not exceeding 70) as he wishes to. His utility function is U(c, r) = cr where c is his income spent on goods and r is the number of hours of leisure that he has per week. Suppose that the hourly wage is w dollars. Find Albert's demand for leisure as a function of w. How many hours will Albert work at wage w?

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