High School

People are served in a process with a single resource. There are two types of people:

- The resource’s processing time for the first type is 69 minutes, and demand for this type is 8.4 people per hour.
- The resource’s processing time for the second type is 3.1 minutes, and demand for this type is 13 people per hour.

There are 10 workers at this resource. What is the implied utilization (%) of this resource?

A) 53.2%
B) 85.6%
C) 78.4%
D) 63.9%

Answer :

Final answer:

The implied utilization percentage of the resource is approximately 96.5%.

Explanation:

To find the implied utilization percentage of this resource, we need to calculate the total processing time required for each type of person and compare it to the total available processing time. For the first type of person, the processing time is 69 minutes and the demand is 8.4 people per hour. So, the total processing time required for this type is 69 * 8.4 = 579.6 minutes per hour.

For the second type of person, the processing time is 3.1 minutes and the demand is 13 people per hour. So, the total processing time required for this type is 3.1 * 13 = 40.3 minutes per hour. The total available processing time is the number of workers (10) multiplied by the working time per hour (60 minutes), which is 10 * 60 = 600 minutes per hour.

To calculate the implied utilization percentage, we divide the total processing time required for both types of people by the total available processing time and multiply by 100. The utilization percentage is ((579.6 + 40.3) / 600) * 100 ≈ 96.5%. Therefore, none of the given options (a, b, c, d) are correct. The true implied utilization percentage is approximately 96.5%.

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