### Production Planning for the New Train Set by Action Toy CompanyThe Action Toy Company has decided to manufacture a new train set. The production process for the train set is divided into six distinct tasks. The table below details the performance time required for each task and their respective predecessors.#### Production Tasks and Performance Times| Task | Performance Time (seconds) | Predecessors ||------|-----------------------------|--------------|| A | 20 | – || B | 27 | A || C | 12 | A || D | 14 | A || E | 12 | B, C || F | 30 | D, E |**Demand**: The anticipated demand for the train sets is 4,600 units per 40-hour workweek.This table provides essential information for planning and managing the production process, ensuring that all tasks are sequenced correctly and performance times are efficiently allocated to meet the weekly demand. Each task has specific predecessors that must be completed before the task can begin, thus organizing the workflow effectively. ### Assembly Line Balancing Exercise**This exercise only contains parts b, c, d, e, and f.**---**b)** Given the demand, the cycle time for the production of the new train set = [ ] seconds (round your response to one decimal place).**c)** The theoretical minimum number of workstations = [ ] (round your response up to the next whole number).**d)** Using the longest operation time rule, the assignment of tasks to workstations should be: *(Hint: Number workstations sequentially in terms of precedence relationships and combine any applicable tasks.)*| Task | Workstation # ||------|---------------|| A | [Dropdown] || B | Station 2 || C | [Dropdown] || D | [Dropdown] || E | [Dropdown] || F | [Dropdown] |---**Were you able to assign all the tasks to the theoretical minimum number of workstations?** [Dropdown]**e)** The total idle time per cycle for the process = [ ] seconds (enter your response as a whole number).**f)** The efficiency of the assembly line with 5 workstations = [ ]% (enter your response as a percentage rounded to one decimal place).**If one used 6 workstations instead of 5, the efficiency of the assembly line would be [ ]%** (enter your response as a percentage rounded to one decimal place).---In this exercise, you will balance an assembly line to ensure efficient production. You'll calculate the cycle time, determine the theoretical minimum number of workstations, and assign tasks to stations using the longest operation time rule. Additionally, you'll evaluate the total idle time and the efficiency of the assembly line.

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Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Canine Kennels 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 figure below). 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. Which of the three workstations, W, X, or…
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