3. Joe's utility function for goods per day (Y) and hours of leisure of day (N) is U = N. 0.750.25 . Joe also receives $50 a day in other income. a. Derive the demand for leisure (N) and goods (Y). This said derive, do not just write them down. b. At what values of the wage rate does Joe decide not to work? Show how you reach the answer. c. Suppose Joe's other income increases to $100 a day. At what values of the wage rate does Joe decide not to work? Show how you reach the