1.Mark consumes leisure (L hours per day) and other goods (Y units per day), with preferences described by. The price of other goods is 1 euro per unit. The wage rate is w euros per hour. (11 pts.)

a)Show how the number of units of leisure Mark chooses depends on the wage rate using the leisure demand equation. (5 pts.)

b)How does Mark's daily income depend on the wage rate? Show your answer using an equation (3 pts.)

c)Does Mark work more when the wage rate rises? Support your answer using calculus. (3 pts.)