Question

What growth rate will lead to a queue with 6 customers in 5 hours?

A. 0.5 customers per hour
B. 1 customer per hour
C. 1.2 customers per hour
D. 2 customers per hour

Answer 1

The growth rate needed for a queue to reach 6 customers in 5 hours, given one customer arrives every two minutes, is 1.2 customers per hour. Therefore correct answer is option C.

Step-by-step explanation:

The student's inquiry pertains to determining the requisite growth rate for a queue to accumulate 6 customers within a span of 5 hours. Given the information that, on average, a customer arrives every two minutes, this translates to an hourly rate of 30 customers (60 minutes / 2 minutes = 30 customers per hour).

To ascertain the growth rate necessary for 6 customers in 5 hours, the calculation involves dividing the target number of customers by the time frame (6 customers / 5 hours = 1.2 customers per hour).

Consequently, the accurate growth rate to achieve a queue with 6 customers in 5 hours is determined to be 1.2 customers per hour, aligning with Option C.