Customers in a small retail store arrive at the single cashier on average every 5 minutes. The average service time for the cashier is 4 minutes. Arrivals tend to follow a Poisson distribution, and service times follow an exponential distribution. We need to analyze this waiting-line system.

(h) A cash machine manufacturer has offered an advanced system that will reduce service time to 1.5 minutes per customer. The cost of the new machine would be the same as opening a second cashier lane, so the owner has decided to buy the new system only if it reduces wait times over the two-cash option. Should the owner purchase the advanced system?