a.
Interpretation: The positional weights of given activities have to be calculated.
Concept Introduction:
Positional weight: Positional weight is the sum of weight of that particular position and the rest of the task weights succeeding in the task list.
b.
Interpretation: The minimum number of stations achieved when the cycle time is 30 has to be computed.
Concept Introduction:
Minimum cycle time: It is supposed to be the longest time taken to complete a series of tasks involved in production of a product.
c.
Interpretation: The status of number of stations to be derived when the cycle time is lower.
Concept Introduction:
Minimum cycle time: It is supposed to be the longest time taken to complete a series of tasks involved in production of a product.
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Production and Operations Analysis, Seventh Edition
- Use the longest work element rule to balance the assembly line described in the following table and Figure so that it will produce 40 units per hour.a. What is the cycle time?b. What is the theoretical minimum number of workstations?c. Which work elements are assigned to each workstation?d. What are the resulting efficiency and balance delay percentages?e. Use the shortest work element rule to balance the assembly line. Do you note any changes in solution? Work Element Time (Sec) Immediate Predecessor(s) A B C D E F G H I J K 40 80 30 25 20 15 60 45 10 75 15 None A A B C B B D E,G F H,I,Jarrow_forwardAlocal toy manufacturer is using a production line that runs 8 hours per day and produces a toy that requires a total of 7 tasks to be performed. The daily demand is 100 toys. Times of the tasks are 2.73, 2.01 201 2.13, 2.0, 2.61, 2.71 , and 2.95 minutes for A,B,C,D,E,F, and respectively. However, due to the nature of the product there are precedence rules that must be observed. Such that Task Adoes not need any predecessorsB requires task A to completed. To start task C and task Deach require task B to be completed. Task C must be completed prior to stating task E. Task F needs both task D and task Eto be completed. Finally, task G can start only once task Fis completed.Given we apply the most remaining tasks rule for balancing the assembly line with ties broken according to longest task time firstthe tasks that will be assigned to the SECOND workstation arearrow_forwardA manager wants to assign tasks to workstations as efficiently as possible and achieve an hourlyoutput of four units. The department uses a working time of 56 minutes per hour. Assign the tasksshown in the accompanying precedence diagram (times are in minutes) to workstations using thefollowing rules:a. In order of most following tasks. Tiebreaker: greatest positional weight.b. In order of greatest positional weight. Tiebreaker: most following tasks.c. What is the efficiency?arrow_forward
- The desired daily output for an assembly line is 540 units. This assembly line will operate 720 minutes per day. The following table contains information on this product's task times and precedence relationships: TASK TASK TIME(SECONDS) IMMEDIATEPREDECESSOR A 35 — B 25 A C 35 A D 55 B E 5 B F 15 C G 30 E-D H 5 F-G b. What is the workstation cycle time? 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.)arrow_forward2-The process of making hotdogs involves six activities: “grind”, “mix”, “stuff”, “cook”, “peel”, and “inspect”. If the capacity of activity “cook” determines the process capacity, which of the following statements are true? a- Activity “cook” is a bottleneck activity. b- The activity time of all the other five activities is shorter than activity "cook". c- Cycle time of the process of making hotdogs is equal=1/capacity of activity “cook”. d- Increasing the capacity of activity “grind” can increase the capacity of the process of making hotdogs. All statements are correct Only statement 'b' is correct Only statements 'a' and 'b' are correct Only statements 'a', 'b' and 'c' are correct Only statement 'a' is correct Only statement 'd' is correctarrow_forwardThe XYZ company produces all type of office furniture. The “Executive Secretary” is a chair that has been designed using ergonomics to provide comfort during long office hours. The chair sells for $130. There are 480 minutes available during the day, and the average daily demand has been 50 chairs. There are eight tasks; Task Time (min) Immediate predecessor A 4 - B 7 - C 6 A, B D 5 C E 6 D F 7 E G 8 E I 6 F, G a) Draw a precedence diagram of this operation b) What is the cycle time for this operation? c) What is the theoretical minimum number of workstations? d) Assign tasks to the workstations e) What is the idle time per cycle? f) What is the efficiency of the assembly line?arrow_forward
- Sue Helms Appliances wants to establish an assem-bly line to manufacture its new product, the Micro Popcorn Popper. The goal is to produce five poppers per hour. The tasks,task times, and immediate predecessors for producing one MicroPopcorn Popper are as follows:TASK TIME (min) IMMEDIATEPREDECESSORSA 10 —B 12 AC 8 A, BD 6 B, CE 6 CF 6 D, Ea) What is the theoretical minimum for the smallest number ofworkstations that Helms can achieve in this assembly line?b) Graph the assembly line, and assign workers to workstations.Can you assign them with the theoretical minimum?c) What is the efficiency of your assignment?arrow_forwardAs the Operations Manager of Shane Manufacturing Ltd., you are given the task to balance the assembly line that is used to produce a special type of toy. b. Draw the precedence diagram for the problem that you set up in part “a” above. c. Use the example that you set up to demonstrate how you will balance the line. d. Calculate the efficiency of the line.arrow_forwardXYZ Company produces and sells 2 products, Lambda and Gamma, and the production process goes through two departments. Traditionally Manufacturing Overhead (M/O) cost is applied on the basis of direct labor hours (DLH); estimated M/O cost is $ 5,757,500 and the estimated DLH is $12,250 for the most recent period.The team decided to replace traditional plantwide costing system to activity-based costing system. There are 3 activity cost pools which represent 3 activity areas at the plant. Direct Labor wage rate is $ 30 per hour. Compute total cost per unit (for lambda and gamma) using activity-based approach. (round your numbers).arrow_forward
- A shop works a 400-minute day. The manager of the shop wants an output of 200 units per day for the assembly line that has the elemental tasks shown in the table. Do the following: b.) Assign tasks according to the most following tasks rule. Break ties with the greatest positional weight rule. c.) Assign tasks according to the greatest positional weight rule. Break ties with the most following tasks rule. d.) Compute the efficiency level for each rule. Which one yields the better set of assignments in this instance?arrow_forwardCanine Kernels Company (CKC) manufactures two different types of dog chew toys (A and B, sold in 1,000-count boxes) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process (see Figure). Batch setup times are negligible. The flowchart denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. CKC can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to work on that workstation alone, and is paid $6 per hour. Total labor costs per week are fixed. Variable overhead costs are $3,500/week. The plant operates one 8-hour shift per day, or 40 hours/week. Which of the three workstations, W, X, or Y, has the…arrow_forwardCanine Kernels Company (CKC) manufactures two different types of dog chew toys (A and B, sold in 1,000-count boxes) that are manufactured and assembled on three different workstations (W, X, and Y) using a small-batch process (see the following figure). Batch setup times are negligible. The flowchart denotes the path each product follows through the manufacturing process, and each product’s price, demand per week, and processing times per unit are indicated as well. Purchased parts and raw materials consumed during production are represented by inverted triangles. CKC can make and sell up to the limit of its demand per week; no penalties are incurred for not being able to meet all the demand. Each workstation is staffed by a worker who is dedicated to working on that workstation alone and is paid $6 per hour. Total labor costs per week are fixed. Variable overhead costs are $3,500/week. The plant operates one 8-hour shift per day or 40 hours/week. The senior management at Canine…arrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,