The desired daily output for an assembly line is 420 units. This assembly line will operate 546 minutes per day. The following table contains information on this product's task times and precedence relationships: TASK TASK TIME (SECONDS) IMMEDIATE PREDECESSOR A 35 — B 25 A C 18 B D 67 B E 36 A F 32 E G 42 C, D H 27 F, G b. What is the workstation cycle time? Cycle time seconds c. Balance this line using the largest number of following tasks. Use the longest task time as a secondary criterion. (Leave no cells blank - be certain to enter "0" wherever required.) Workstation Task Idle Time I II III IV d. What is the efficiency of your line balance? (Round your answer to 2 decimal places.) Efficiency %
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Given: Demand = 420 units Operating time = 546 minutes = 546 * 60 seconds = 32760 seconds Cycle time = Operating time / Demand Cycle time = 32760 / 420 Cycle time ≈ 78 seconds **Workstation Cycle Time: 78 seconds** Show more…
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Product's task times and precedence relationships: The assembly line will operate for 450 minutes per day. The following table contains information on this Assembly Line Balance Problem. The desired daily output for an assembly line is 360 units. a. What is the workstation cycle time required to produce 360 units per day? (3 points) b. Balance this assembly line using the largest number of following tasks as the primary rule and the longest task time as the secondary rule to break ties. Under such decision rule, how many workstations are required for this line? List the task(s) assigned for each workstation. (5 points)
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Refer to the following: The cost of manufacturing a product is a function of the number of hours $t$ the assembly line is running per day. The number of products manufactured $n$ is a function of the number of hours $t$ the assembly line is operating and is given by the function $n(t) .$ The cost of manufacturing the product $C$ measured in thousands of dollars is a function of the quantity manufactured, that is, the function $C(n)$ If the quantity of a product manufactured during a day is given by $$n(t)=100 t-4 t^{2}$$ and the cost of manufacturing the product is given by $$C(n)=8 n+2375$$ a. Find a function that gives the cost of manufacturing the product in terms of the number of hours $t$ the assembly line was functioning, $C(n(t))$ b. Find the cost of production on a day when the assembly line was running for 24 hours. Interpret your answer.
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