Consider a process consisting of three resources. Assume there exists unlimited

Question

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. Resource 1 Resource2 Resource3 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 a. What is the capacity of resource 2? b. What is the bottleneck in the process? c. What is the utilization of resource 2? units per minute Resourcee percent How long does it take the process to produce 205 units starting with an empty system, assuming this is a worker-paced process? d. minutes

Explanation / Answer

a. Capacity of resource 2 = 1/processing time = 1/8 = 0.125 units per minute

b.

Capacity of resource 1 = 1/10 = 0.100 units per minute

Capacity of resource 3 = 1/7 = 0.143 units per minute

Capacity of resource 1 is the minimum. Therefore, it is the bottleneck.

c. Utilization of resource 2 = Bottleneck capacity / Capacity of resource 2 = 0.100/0.125 = 0.80

= 80 percent  

d. Time to produce 205 units = 205/0.1 = 2050 minutes

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