1. An individual receives utility from leisure { consumed during a typical day and from consumption c during the day according to her utility function U = (2/3c /3. The individual attempts to maximize utility subject to the constraints ( - 24 - L and pe = wL + a, where w is the individual's hourly wage, p is the price of consumption per unit, L is the number of hours worked and a is income from non-labor sources (a) If a - 0, calculate the individual's labor supply curve (that is, write total hours worked as a function of wage and price of consumption). How many hours will she work if u = 47 _? (b) Suppose that she has an outside income (a) of 12 2 per day. How will the labor supply curve change? How many hours will she work if u - 4TZ