Question 1
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) Immediate
Predecessor a 0.2 B b 0.4 D c 0.2 D d 0.4 G e 1.2 F f 1.2 G g 1.0 – .2 .4 .4
a a.) .2 1.0 b
1.2 g d
1.2 c e f b.) Determined the required cycle time
c.) Determine the minimum amount of workstations needed
d.) Assign tasks to workstations using the heuristic rule- Assign the task with the most
followers. Use longest processing time as a tiebreaker. If ties still exist, choose at random.
e.) Calculate the percentage idle time in part d Question 2 Task Duration
(seconds) Immediate
Predecessor a 45 – b 11 A c 9 B d 50 – e 26 D f 11 E g 12 C H 10 C I 9 F,G,H J 10 I a.) Develop precedence network
b.) Determine the cycle time in seconds for desired output rate of 500 units in a
seven-hour day
c.) Determine the minimum number of workstations for output rate of 500 units
per day
d.) Balance the line using the heuristic rule- Assign the task with the most followers.
Use longest processing time as a tiebreaker. If ties still exist, choose at random. Use a
cycle time of 50 seconds.
e.) Calculate the percentage idle time for the line Question 3
Plot total cost and total revenue lines against quantity per month. With quantity on the X axis and TC and
TR on Y axis.
Q= 10,000
TC= 10,001
TR= 20,000
