# Consider a manufacturing process consisting of three activities: • Activity 1 takes ten minutes to complete and

Consider a manufacturing process consisting of three activities: • Activity 1 takes ten minutes to complete and there are two workers that work in parallel. • Activity 2 takes six minutes to complete and there is only one worker. • Activity 3 takes 15 minutes to complete and there are three workers that work in parallel. a. What is the flow rate if demand is 4 units/hour? b. What is the flow rate if demand is 15 units per hour? c. What is the bottleneck if demand is 15 units per hour? d. What is the utilization of each resource if demand is 15 units per hour? e. Find the shortest time to fulfill an order of 1000 units. f. Assume that each worker costs 12 TL/hour. Find the direct labor cost/item when demand is 4 units/hour and when demand is 15 units/hour. g. What would be the flow rate if one worker is added to stage 2 if demand is 15 units per hour? 3 h. Find a fractional worker assignment (i.e. 1.5 workers to resource 1, 0.8 workers to resource 2 etc.) that would maximize the flow rate. What is the flow rate under this assignment if demand is 15 units per hour? What is the direct labor cost/item? i. What would be the flow rate if n workers are added to the system in part h?

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