Question 1. An assembly line with nine tasks is to be balanced. The longest task is 9 minutes, and the total time for all tasks is 45 minutes. The line will operate for 448 minutes per day. Round up your answers to the nearest whole number See Lecture M4-2 for details. a. What are the minimum output rates? b. What are the maximum output rate? c. What cycle time will provide an output rate of 30 units per day? d. What is the minimum number of workstations needed if the output rate needed was 30 a day?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
Question
Question 1
Question 2. A manager wants to assign tasks to four workstations as efficiently as possible, and
achieve an hourly output of 15 units. Using the following precedence diagram to complete the
table with # of following tasks and positional weight for nodes g,h and i. Time is in minutes.
Task
a
b
C
d
e
f
g
h
i
a
7
d
5
9
C
#Following Positional
Tasks
Weight
4
23
3
20
2
18
3
2
4
25
18
29
Time
3
2474
5
6
9
5
5
Transcribed Image Text:Question 2. A manager wants to assign tasks to four workstations as efficiently as possible, and achieve an hourly output of 15 units. Using the following precedence diagram to complete the table with # of following tasks and positional weight for nodes g,h and i. Time is in minutes. Task a b C d e f g h i a 7 d 5 9 C #Following Positional Tasks Weight 4 23 3 20 2 18 3 2 4 25 18 29 Time 3 2474 5 6 9 5 5
Question 1. An assembly line with nine tasks is to be balanced. The longest task is 9
minutes, and the total time for all tasks is 45 minutes. The line will operate for 448 minutes
per day. Round up your answers to the nearest whole number
See Lecture M4-2 for details.
a. What are the minimum output
rates?
b. What are the maximum output
rate?
c. What cycle time will provide an
output rate of 30 units per day?
d. What is the minimum number of
workstations needed if the output
rate needed was 30 a day?
Transcribed Image Text:Question 1. An assembly line with nine tasks is to be balanced. The longest task is 9 minutes, and the total time for all tasks is 45 minutes. The line will operate for 448 minutes per day. Round up your answers to the nearest whole number See Lecture M4-2 for details. a. What are the minimum output rates? b. What are the maximum output rate? c. What cycle time will provide an output rate of 30 units per day? d. What is the minimum number of workstations needed if the output rate needed was 30 a day?
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