Question

Consider an espresso stand with a single barista. Customers arrive to the stand at the rate of 28 per hour. Service rate is 35 customers per hour. On average, each customer purchase $4.25. On average, how many minutes will a customer spend waiting in line

Answer 1

6.86 minute

Step-by-step explanation:

The arrival rate λ= 28

The service rate μ = 35

Average time a customer spends in the line for service is:

Wq = ( λ / μ(μ-λ)

Wq = ( 28 / 35 (35 - 28))

Wq = ( 28 / 35 (7))

Wq = ( 28 / 245)

Wq = 0.11429 hours

Wq = 0.11429 hours * 60

Wq = 6.8574 minute

Wq = 6.86 minute