As part of a major plant renovation project, the industrial engineering department has been asked to balance a revised assembly operation to achieve an output of 240 units per eighthour day. Task times and precedence relationships are as follows:
Task
Duration(minutes)
ImmediatePredecessor
a
0.2

b
0.4
a
c
0.2
b
d
0.4

e
1.2
d
f
1.2
c
g
1.0
e, f
Do each of the following:
b.
Determine the minimum cycle time, the maximum cycle time, and the calculated cycle time.(Round your answers to 1 decimal place.)
The minimum cycle time
minutes per unit
The maximum cycle time
minutes per unit
Calculated cycle time
minutes per unit
c.
Determine the minimum number of stations needed. (Round your answer to the next whole number.)
Minimum number of stations
d.
Assign tasks to workstations on the basis of greatest number of following tasks. Use longest processing time as a tiebreaker. If ties still exist, assume indifference in choice.
Work stations
Following Tasks
I
(Click to select)AD, C, AA, B, C,DA, B, D, CD, B, C
II
(Click to select)EB,EC, F, BD, C, AA
III
(Click to select)F, GECFB
IV
(Click to select)E, FC, DA, B, CEG
e.
Compute the percentage of idle time for the assignment in part d. Use the actual bottleneck cycle time in your calculation. (Round your answer to 1 decimal place. Omit the "%" sign in your response.)