Question: The manager of the customer service department at a bank can hire employees with a high school degree (HS) who earn $10,000 annually or employees with a bachelor's degree (B) who earn $20,000. The manager wants to maximize the number of customers served given a fixed payroll.

a) If the manager has a payroll of $80,000, how should the budget be allocated in order to maximize the number of customers served? (15 pts)

b) If the manager currently has three HS and three B, what must be true? (5 pts)

(Note: You are expected to apply the method you have learned to answer the above questions. Trial-and error approach is not accepted)