Question

A manager of a taco stand is interested in advertising to get more lunch time customers, but doesn't know how much time it takes to process a single customer. The amount of time it takes to process a single customer will help the manager determine the maximum amount of customers they can process in the lunch hour. On average, during lunch hour, there are 12 people in line waiting to order at the window. 4 people per minute leave the taco stand after receiving their food. Fill in below. I = _______ R = _______ On average how long do customers wait in line? Calculate answer in minutes.

Answer 1

The answer is 1.95 minutes.

Step-by-step explanation:

First, we have to determine the total number of customer the taco stand serves during lunch hour which is equivalent to 60 minutes period: As 4 people per minute leave the taco stand after being served, the total number of customer being served are: 4 x 60 = 240 customers;

Second, we divide customers waiting in line during lunch hour by three groups: Group A: 4 customers who come first, thus they do not have to wait in line making their waiting time in line 0; Group B: 4 customers who come after customers in group A, thus their waiting time in line is 1 minute as they have to wait for customers in group A being served and leave; Group C: 232 (240 -4 -4) customers who come the latest all have to wait for 2 minutes for at least 8 customers come earlier than them being served.

So the calculation to come up with the result is : (4 x 0 + 4 x 1 + 232 x 2)/240 = 1.95 minutes