Given the labor / leisure model of time allocation for a day, answer the following: (no given utility function)

a. Illustrate the consumption budget constraint of an average person if their wage is $10/hr & has a stipend of $20/day and its corresponding function

b. If the optimal leisure time in part a is 8 hrs of leisure & $180 consumed, illustrate & briefly explain an effect of a $10 increase in stipend given leisure is an inferior good

c. Ignoring part b, if the wage increases by $5, illustrate & briefly explain the change in optimal leisure if the substitution effect dominates

d. Given part c, briefly explain if this person is better or worse off & wh

e. Does this model account for the effort or happiness derived from working? Explain why or why not

f. For part c, show the decomposed change in behavior, illustrating both effects, labeling everything accordingly