Shirts are made in a process with a single resource. There are two types of shirts.

- The resource's processing time for the first type is 500 seconds, and demand for this type is 0.23 shirts per minute.
- The resource's processing time for the second type is 2,800 seconds, and demand for this type is 0.16 shirts per minute.

There are 11 workers at this resource.

Instruction: Round your answer to one decimal place.

What is the implied utilization (%) of this resource?

The implied utilization of the resource is 92.0%.

Utilization is a measure of the extent to which a resource is being used to its full capacity. It is calculated as the ratio of the actual usage time to the total available time. In this case, the resource is a single process used to make two types of shirts, with different processing times and demand rates. The total demand for shirts is the sum of the demand for each type. To calculate the total demand, we multiply the demand rate by the processing time for each type of shirt and add the results. The total available time for the resource is the product of the number of workers and the number of minutes in an hour. The actual usage time is the product of the total demand and the processing time for each type of shirt. Finally, we divide the actual usage time by the total available time and multiply by 100 to get the utilization percentage. Using the given values, we can calculate the implied utilization of the resource as follows:
Total demand = (0.23 shirts/min x 500 sec/shirt) + (0.16 shirts/min x 2800 sec/shirt) = 661.6 shirts/hr
Total available time = 11 workers x 60 min/hr = 660 min/hr
Actual usage time = 661.6 shirts/hr x (500 sec/shirt + 2800 sec/shirt) / 3600 sec/hr = 92.16 min/hr
Implied utilization = 92.16 min/hr / 660 min/hr x 100% = 92.0%

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