Problem $6-10($Algo$)$

A call center employs $1,100$ agents. Every month $55$ employees leave the company and $55$ new employees are hired.

a$.$ How long, on average, does an agent work for this call center?

Average working time

Suppose the cost of hiring and training a new agent is $$1,100.$ The manager of this call center believes that increasing agents' salaries

would keep them working longer at the company. The manager wants to increase the average time that an agent works for the call

center to $24$ months, or two years.

b$-1.$ Given the current average working time for agents at this call center, determine the current annual cost for hiring and training.

Current annual cost

b$-2.$ Assuming the average time that an agent works for the call center is increased to $24$ months, determine the new annual cost for

hiring and training.

New annual cost

b$-3.$ If the time an agent works for the call center is increased to $24$ months on average, how much could the company save on hiring

and training costs over a year?

Annual saving