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PA 3-3 Consider a process consisting of three... Consider a process consisting o

ID: 396898 • Letter: P

Question

PA 3-3 Consider a process consisting of three... Consider a process consisting of three resources. Assume there exists unlimited demand for the product. Resource 1 has a processing time of 10 minutes per unit. Resource 2 has a processing time of 8 minutes per unit. Resource 3 has a processing time of 7 minutes per unit Resource1 Resource 2 Resource 3 All three resources are staffed by one worker. The flow diagram is shown above. Round "Capacity of resource" to 3 decimal places and other numbers to whole numbers units per minute a. What is the capacity of resource 2? b. What is the bottleneck in the process? c. What is the utilization of resource 2? ource 3 decimal places required. percent d How long does it take the process to produce 205 units starting with dl. minutes an empty system, assuming this is a worker-paced process?

Explanation / Answer

A.

Capacity of resource 2 = No. of units produced per minute = 1/8 = .125 units per minute

B.

Bottleneck of the process = Resource 1

Because, it takes maximum time to process one unit that is 10 minutes. So, it is a bottleneck resource.

C.

Capacity of resource 1 = 1/10 = .10 units per minute

So,

Utilization of resource 2 = .1/.125 = 80%

D.

Time taken to produce unit 1 = 10+8+7 = 25 minutes

Afterwards, it will take bottleneck time to produce each unit.

bottleneck time to produce 1 unit = 10 minutes

So,

Total time to produce 205 units = time to produce unit 1 + time to produce 204 units

Total time to produce 205 units = 25 + 204*10 = 2065 minutes or 34 hrs. and 25 minutes