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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 111P
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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?

Task
Immediate
Predecessor
Task
Time
a — 0.5
b a 1.4
c a 1.2
d a 0.7
e b, c 0.5
f d 1.0
g e 0.4
h g 0.3
i f 0.5
j e, i 0.8
k h, j 0.9
m k 0.3

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