An assembly line is to be designed to operate 71⁄2 hours per day and supply a steady demand of 300 units per day. Here are the tasks and their performance times: Performance Performance Preceding Time Preceding Time Task Tasks (Seconds) task Tasks (Seconds) a — 70 g d 60 b — 40 h e 50 c — 45 i f 15 d a 10 j g 25 e b 30 k h, i 20 f c 20 l j, k 25 a. Draw the precedence diagram. b. What is the workstation cycle time required to produce 300 units per day? c. What is the theoretical minimum number of workstations?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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An assembly line is to be designed to operate 71⁄2 hours per day and supply a steady demand
of 300 units per day. Here are the tasks and their performance times:
                                                                      Performance                                             Performance
                                               Preceding        Time                                 Preceding        Time
                           Task              Tasks         (Seconds)            task               Tasks        (Seconds)
                             a                       —                  70                       g                      d                  60
                             b                      —                   40                       h                     e                  50
                             c                       —                   45                        i                     f                   15
                            d                        a                    10                        j                     g                   25
                            e                       b                     30                       k                  h, i                  20
                            f                        c                      20                       l                    j, k                 25
a. Draw the precedence diagram.
b. What is the workstation cycle time required to produce 300 units per day?
c. What is the theoretical minimum number of workstations?
d. Assign tasks to workstations using the longest operating time.
e. What is the efi ciency of your line balance, assuming it is running at the cycle time from part (b)?
f. Suppose demand increases by 10 percent. How would you react to this? Assume that you can operate only 71⁄2 hours per day.

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