A manager wants to assign tasks to workstations as efficiently as possible and achieve an hourly output of 30 units. Assume the shop works a 60-minute hour. Assign the tasks shown in the accompanying precedence diagram (times are in minutes) to workstations using the following rules: 1.7 0.8 0.5 0.7 d 0.8 e 0.8 f 0.9 9 0.5 h
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- b. In order of greatest positional weight. Tiebreaker: most following tasks. (Use your rounded cycle time. Enter your tasks in the order they were assigned at each station as a letter between a and h in lowercase with no other text or symbols. Round your numerical answers to 1 decimal place.) Time Work Station Task Task Time Remaining II II IV What is Efficiency? (Use your rounded cycle time in the denominator of your efficiency calculation. Round your answer to 1 decimal place.) Efficiency %An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the totaltime for all tasks is 18 minutes. The line will operate for 450 minutes per day.a. What are the minimum and maximum cycle times?Esplanade Marine Parts Inc. wants to produce parts in batches of 60 parts. Each part must be processed sequentially from workstation A to B. Processing Workstation Batch Size (Q) Time per Part 40 seconds A B 60 60 15 seconds a. How many seconds are required to produce the batch under the assumptions of batch processing? Round your answer to the nearest whole number. seconds b. How many seconds are required to produce the batch under the assumptions of single-piece flow processing? Round your answer to the nearest whole number. seconds C. Compare the two solutions in terms of time saved. Round your answer to the nearest whole number. Using the assumptions of -Select- processing saves seconds.
- Three departments- milling (M), drilling (D), andsawing (S)- are assigned to three work areas in Victor Berardis'smachine shop in Kent, Ohio. The number of workpieces movedper day and the distances between the centers of the work areas,in feet, follow. Pieces Moved between Work Areas Each Day lt costs $2 to move I workpiece I foot.What is the cost?Workstation cycle time is 115 seconds per unit and there are 4 workstations. What is the efficiency of the line balance and 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. (Last Bartelby helper got the problem incorrect as shown in the picture).5. Flo's Quick-Lube performs fast oil changes (A) and checks for tire pressure and wear (B) and brakes and alignment (C) according to the process flow indicated by the diagram below. Each incoming car is put on a jack while one technician performs task A and another simultaneously performs task B and a third performs task C (which must follow task B due to the limited space under the vehicle on the jack). The server for task A takes on average 3 minutes to process a job, the server for task B takes on average 2 minutes to process a job, and the server for task C takes on average 2 minutes to process a job. Server A can be operated in parallel with Servers B and C. All processing times are random and exponentially distributed, and jobs are allowed to queue in front of each server. (You can assume that the number of jacks is sufficient to allow any length of queue.) (a) AND B A C Figure 1: Flo's Process Flow What is the capacity of the process (in orders/minute)?
- Consider a four-step serial process with the number of workers at each step and processing times given in the following table. Process Step 1 2 3 4 Number of Workers 1 5 4 5 Time per Customer (in Minutes) Assuming that the process starts out empty and is worker-paced, how long will it take (in minutes) to serve 20 customers? (Round to nearest minute.) minutes to serve 20 customers 8 19 13 5The maker of the world-famous Chocolate Chip Cookies needs to design a product layout for a new product, Mint Chocolate Chip. The company plans to use this new production line eight hours a day in order to meet projected demand of 1,440 cases per day. The following table describes the tasks involved in the production of a case of Mint Chocolate Chip Cookies. 27 seconds 0.3333 seconds 18 seconds 14 seconds 56 seconds 20 secondsConsider an assembly line such as the burrito assembly line at Chipotle Mexican Grill. During slow times of the day, one server can handle assembly, but during very busy times, having many servers would be prudent. Explain why either approach wouldn’t work all the time, and the benefit ofmatching the number of servers to the pace of customer arrivals.
- Positively Rivet Inc. is a small machine shop that produces sheet metal products. It had one line dedicated to the manufacture of light-duty vent hood shells, but because of strong demand it recently added a second line. The new line makes use of higher-capacity automated equipment but consists of the same basic four processes as the old line. In addition, the new line makes use of one machine per workstation, while the old line has parallel machines at the workstations. The processes, along with their machine rates, number of machines per station, and average times for a lone job to go through a station (i.e., not including queue time), are given for each line in the following table: Process Old Line New Line Rate per Machine (parts/hour) # Machines per Station Time (minute) Rate per Machine (parts/hour) # Machines per Station Time (minute) Punching 15 4 4.0 120 1 0.50 Braking 12 4 5.0 120 1 0.50 Assembly 20 2 3.0 125…Dr. Lori Baker, operations manager at Nesa Electronics, prides herself on excellent assembly line balancing. She has been told that the firm needs to complete 96 instruments per 24-hour day. The assembly-line tasks for the production of the instrument are: Task Time (minutes) Predecessors A 3 ---- B 6 ---- C 7 A D 5 A, B E 2 B F 4 C G 5 F H 7 D, E I 1 H J 6 E K 4 G, I, J Draw the precedence diagram If the daily production (24-hour) production rate is 96 units, what is the highest allowable cycle time? If the cycle time after allowances is given as 12 minutes, what is the daily (24-hour) production rate? With a 12-minute cycle time, what is the theoretical minimum number of stations with which the line can be balanced? Assign task to workstations. Use the following decision rules (heuristics): longest task first, break ties by assigning the task with the most followers. What are the efficiency and the balance delay of the assembly line? Show detil of…The Sun River beverage company is a regional producer of teas, exotic juices, and energy drinks. With an interest in healthier lifestyles, there has been an increase in demand for its sugar-free formulation. The final packing operation requires 13 tasks. Sun River bottles its sugar-free product 5 hours a day, 5 days a week. Each week, there is a demand for 3,000 bottles of this product. TASK TIME (MINUTES) PRECEDING TASK 1 0.1 — 2 0.1 1 3 0.1 2 4 0.2 2 5 0.1 2 6 0.2 3, 4, 5 7 0.1 1 8 0.1 7 9 0.2 8 10 0.1 9 11 0.2 6 12 0.2 10, 11 13 0.1 12 Using the following data, solve the assembly-line balancing problem and calculate the efficiency of your solution. Use the longest task time for your decision criteria. Note: Round your answer to the nearest whole percent.