Question

In a bottling facility there are three steps on a worker-paced line to fill detergent bottles. There is one worker per station and no inventory is stored between the steps. The capacities at each step are

Rinse: 30 units/hour
Dry: 360 units/hour
Fill: 120 units/hour
What is the resource utilization of Fill if the demand rate is 40 bottles per hour?
Select one:
a. 8.3%
b. 25%
c. 33.3%
d. 100%
e. 125%

Answer 1

option (c) 33.3%

Step-by-step explanation:

Data provided in the question:

The capacities at each step is given as:

Rinse = 30 units/hour

Dry = 360 units/hour

Fill = 120 units/hour

Demand rate = 40 bottles per hour

Now,

Resource Utilization of Fill =
`\frac{\textup{Demand}}{\textup{Fill capacity}}*100\%`

or

Resource Utilization of Fill =
`\frac{\textup{40}}{\textup{120}}*100\%`

or

Resource Utilization of Fill = 33.3%

Hence,

the correct answer is option (c) 33.3%