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Calculating Cycle Times and Theoretical Minimum

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9.11 Stanford Rosenberg Computing wants to establish an assembly line for producing a new product, the Personal Digital Assistant (PDA). The tasks, task times, and immediate predecessors for the tasks are as follows:
TASK TIME (sec)
IMMEDIATE
PREDECESSORS
IMMEDIATE
TASK TIME (sec) PREDECESSORS
A 12 —
B 15 A
C 8 A
D 5 B, C
E 20 D

Rosenberg's goal is to produce 180 PDAs per hour.
a) What is the cycle time?
b) What is the theoretical minimum for the number of workstations that Rosenberg can achieve in this assembly line?
c) Can the theoretical minimum actually be reached when workstations are assigned?

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A detailed explanation of how to calculate cycle times, theoretical minimum, and how to determine the combination that generates the highest efficiency levels in the assembly line.

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