. Suppose that the utility function is u(c, l) = log(c) - - l (a) Explain the intuition behind this utility function. Does the person likes consump- tion c? What about leisure l? (b) Find the equation of an indifference curve given a level of utility I. (c) Find the Marginal Rate of Substitution. (d) Show the optimal consumption-labor choice using a plot with c in the y-axis and in the x-axis. (e) Find the optimal amount of consumption and leisure assuming that h = 1 and π = T = 0.