3. Petunia Workaholica's preferences for consumption 6 and Leisure L are represented by the utility function u(L, c) : ln(L) +c. Assume that the price of stuff (consumption goods) has been normalized to 1, and that the maximum amount of time available to her is T = 24 hours. All her income comes from the labor she supplies. (a) If the wage rate is w = 20 dollars an hour, What is Petunia's optimal choice of con sumption and leisure? (b) Assuming that w > 1/24, write down the equation of Petunia's labor supply curve. Represent it graphically. (c) J acinto is Petunia's brother, and his preferences for leisure and consumption are repre sented by ML, 0) : LC. In addition, Jacinto has $120 of nonlabor income. Can you answer parts (a) and (b) for Jacinto