The weekly preferences over consumption (C) and leisure

(L) are defined by u(C, L) = C + 3L. The person receives a weekly allowance of m fromThe hourly wage is $18 per hour, and the person can work up to

50 hours each week (T = z + L = 50), where z is the number of hours spent working).

a)How many hours will the person work if her allowance is m= $450 per week

b) What is the smallest allowance m for which the person will stop

working altogether (z = 0) for a wage of w = 18?