The desired daily output for an assembly line is 240 units. This assembly line will operate 8 hoursper day. The following table contains information on the product's task times and precedencerelationships:Task12345678Time (s)6080205090303060a. Draw the precedence diagram.b. What is the workstation cycle time?c. Balance this line using the longest task time.d. What is the efficiency of your balanced line?Predecessor1112,33,45,67

Project schedule helps in calculating different values related to the production cycle like the…

Answered: a. Draw the precedence diagram. b. What…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

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

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An assembly line must be designed to produce 40 containers per hour. The following data give the necessary information Table 1 TASK IMMEDIATE PREDECESSOR TASK TIME (sec) A None 60 B A 12 C B 35 D A 55 E D 10 F E 50 G F, C 5 Draw the precedence diagram. Compute the cycle time (in seconds) to achieve the desired output rate. What is the theoretical minimum number of stations? Assign the tasks to the workstation? What is the efficiency of the line? Calculate the idle time
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:a. Construct the precedence diagram.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 balance delay for each rule. Which one yields the better set of assignments in this instance? TaskImmediatePredecessorTaskTimea — 0.5b a 1.4c a 1.2d a 0.7e b, c 0.5f d 1.0g e 0.4h g 0.3i f 0.5j e, i 0.8k h, j 0.9m k 0.3
A paced assembly line has been devised to manufacture calculators, as the following data show: LOADING... Station Work Element Assigned Work Element Time (min) S1 A 4.0 S2 D, E 0.9, 1.5 S3 C 5.0 S4 B, F, G 1.1, 1.0, 1.3 S5 H, I, J 1.1, 0.5, 1.8 S6 K 4.0 a. What is the maximum hourly output rate from this line? (Hint: The line can only go as fast as its slowest workstation.) The maximum hourly output rate is nothing calculators per hour. (Enter your response as an integer.) B. What cycle time corresponds to this maximum output rate? C. If a worker is at each station and the line operates at this maximum output rate, how much idle time is lost during each? 10-hour shift? D. What is the line's efficiency?
Dr. Lori Baker, operations manager at Nesa Electro-nics, prides herself on excellent assembly-line balancing. She has been told that the firm needs to complete 96 instruments per24-hour day. The assembly-line activities are: TASK TIME (min) PREDECESSORSA 3 —B 6 —C 7 AD 5 A, BE 2 BF 4 CG 5 FH 7 D, EI 1 HJ 6 EK 4 G, I, J 50a) Draw the precedence diagram.b) If the daily (24-hour) production rate is 96 units, what is thehighest allowable cycle time?c) If the cycle time after allowances is given as 10 minutes, whatis the daily (24-hour) production rate?d) With a 10-minute cycle time, what is the theoretical minimumnumber of stations with which the line can be balanced?e) With a 10-minute cycle time and six workstations, what is theefficiency?f) What is the total idle time per cycle with a 10-minute cycletime and six workstations?g) What is the best workstation assignment you can makewithout exceeding a 10-minute cycle time, and what is itsefficiency?
The Action Toy Company has decided to manufacture a new train set, the production of which is broken into six steps. The demand for the train is 4,800 units per 40-hour workweek: Task A BCDEF Performance Time (seconds) 20 30 14 14 10 30 Predecessors A A A B, C D, E This exercise only contains part a. a) The correct precedence diagram for the assembly line is presented in CBD Fig. 1 A Fig. 2 Fig. 3 B B E B N o 勺 N
The Action Toy Company has decided to manufacture a new train set, the production of which is broken into six steps. The demand for the train is 4,600 units per 40-hour workweek: Task A BCDEF C Performance Time (seconds) 22 30 12 15 12 27 Predecessors A A A B, C D, E This exercise only contains part a. a) The correct precedence diagram for the assembly line is presented in C Fig. 1 Fig. 2 Fig. 3 B E
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: a- What is the cycle time and what s the minimum number of workstations required b- Construct the precedence diagram. c- Assign tasks according to the most following tasks rule.. d- what is the efficiency of such line Immediate Task Task Predecessor Time a 0.5 a 1.4 a 1.2 a 0.7 0.5 f 1.0 0.4 03 05 e i 0.8 h j 0.9 k 0.3
The following tasks are to be performed on an assembly line: TASK ABCDEFGH SECONDS 30 Cycle time 16 21 15 17 14 20 9 Number of workstations. TASKS THAT MUST PRECEDE The workday is 8 hours long. Demand for completed product is 900 per day. a. Find the cycle time required to meet the desired output rate. (Round your answer to 1 decimal place.) 51.0 seconds per unit Work Station A B b. What is the theoretical number of workstations required to meet the desired output rate? (Round up yo number.) Task C D E, F d. Balance the line using sequential restrictions and the longest-operating-time rule. (Leave no cells blar wherever required. Round your answers to 1 decimal place.) Idle Time
An assembly line with 17 tasks is to be balanced. The longest task is 2.2 minutes and the total time for all tasks is 19 minutes. The line will operate for 460 minutes per day. A) What is the minimum number of workstations needed if the output rate is to be 186 units per day? B)- What cycle time will provide an output rate of 142 units per day? C) What output will result if the cycle time is (I) 9 minutes and (II) 14 minutes?
A paced assembly line has been devised to manufacture calculators, as the following data show: Station Work ElementAssigned Work ElementTime (min) S1 S2 S3 S4 S5 S6 A D,E C B,F,G H,I,J K 2.7 0.6, 0.9 3.0 0.7, 0.7, 0.9 0.7, 0.3, 1.2 2.4 a. What is the maximum hourly output rate from this line? (Hint: The line can go only as fast as its slowest workstation.)b. What cycle time corresponds to this maximum output rate?c. If a worker is at each station and the line operates at this maximum output rate, how much idle time is lost during each 10-hour shift?d. What is the line’s efficiency?
a) A manufacturer wishes to create a flow line which will produce 555 pumps/day (8 hrs/ day). The assembly information for the pump is outlined in the table Q1 below. i) Produce the line design which achieves the required cycle time. ii) Calculate the balance loss based upon the longest station time and comment upon the result. iii) What approaches can be used in practice, to reduce the individual cycle time of tasks, so that the overall efficiency of the process can be improved? TASK TIME (SEC) PREDECESSOR A 10 В 28 A 13 A 12 A 30 A F 40 B B.C D,E G 30 H 21 21 J 12 K 16 18 J,K 20 L N 30 M 30 F,G,H,I
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?

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a. Draw the precedence diagram. b. What is the workstation cycle time? c. Balance this line using the longest task time. d. What is the efficiency of your balanced line?