High School

Pipes are installed in a process with two resources. The processing time of the first resource is 11 hours. The processing time of the second resource is 8 hours. The first resource has 5 workers and the second resource has 12 workers. The cycle time of the process is 16.3 hours.

**Instruction:** Round your answer to one decimal place.

What is the average labor utilization (\%)?

Answer :

To calculate the average labor utilization, we need to determine the total processing time required by both resources and compare it to the available labor capacity.

For the first resource:

Processing time = 11 hours

Number of workers = 5

So, the total processing time for the first resource is:

Total processing time for Resource 1 = 11 hours * 1 worker = 11 hours

For the second resource:

Processing time = 8 hours

Number of workers = 12

So, the total processing time for the second resource is:

Total processing time for Resource 2 = 8 hours * 12 workers = 96 hours

Now, let's calculate the total processing time for both resources:

Total processing time = Total processing time for Resource 1 + Total processing time for Resource 2

= 11 hours + 96 hours

= 107 hours

The cycle time of the process is given as 16.3 hours.

Now, let's calculate the available labor capacity:

Available labor capacity = Number of workers at Resource 1 + Number of workers at Resource 2

= 5 workers + 12 workers

= 17 workers

Now, let's calculate the average labor utilization:

Average labor utilization = (Total processing time / Available labor capacity) * 100%

= (107 hours / 16.3 hours) * 100%

= 656.44%

Therefore, the average labor utilization is approximately 656.4%.

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