Question

FreshProduce is a family-owned grocery store that sells organic and locally grown food and fresh produce. There is only one check-out station with one cashier. It takes the cashier on average 5 minutes to check out a customer. The standard deviation of the check-out time is also 5 minutes. On average, there are 6 customers per hour. The standard deviation of the inter-arrival time is 10 minutes. What is the utilization of the process? Group of answer choices 25% 50% 75% 100%

Answer 1

50%

Step-by-step explanation:

The time taking to check a customer is 5 minutes, hence the processing time is 5 minutes.

There are 6 customers per hour that is 1 customer per 10 minutes, therefore the inter arrival time is 10 minutes.

The utilization is the ratio of the processing time to the arrival time, it is given by the formula:

Utilization = Processing time / inter arrival time

Utilization = 5 minutes / 10 minutes = 0.5

Utilization = 50%