Sue Helms Appliances wants to establish an assem-bly line to manufacture its new product, the Micro Popcorn Popper. The goal is to produce five poppers per hour. The tasks,task times, and immediate predecessors for producing one MicroPopcorn Popper are as follows:TASK TIME (min) IMMEDIATEPREDECESSORSA 10 —B 12 AC 8 A, BD 6 B, CE 6 CF 6 D, Ea) What is the theoretical minimum for the smallest number ofworkstations that Helms can achieve in this assembly line?b) Graph the assembly line, and assign workers to workstations.Can you assign them with the theoretical minimum?c) What is the efficiency of your assignment?

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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Sue Helms Appliances wants to establish an assem-
bly line to manufacture its new product, the Micro Popcorn

Popper. The goal is to produce five poppers per hour. The tasks,
task times, and immediate predecessors for producing one Micro
Popcorn Popper are as follows:
TASK TIME (min)

IMMEDIATE
PREDECESSORS
A 10 —
B 12 A
C 8 A, B
D 6 B, C
E 6 C
F 6 D, E
a) What is the theoretical minimum for the smallest number of
workstations that Helms can achieve in this assembly line?
b) Graph the assembly line, and assign workers to workstations.
Can you assign them with the theoretical minimum?
c) What is the efficiency of your assignment?

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