362
Relations, Functions, and Matrices
exeRcISeS 5.2
1. The following tasks are required in order to assemble a bicycle. As the manufacturer, you must write a
list of sequential instructions for the buyer to follow. Will the sequential order given below work? Give
another sequence that could be used.
task
prerequisite tasks
1. Tightening frame fittings
None
2. Attaching handle bars to frame
1
3. Attaching gear mechanism
1
4. Mounting tire on wheel assembly
None
5. Attaching wheel assembly to frame
1, 4
6. Installing brake mechanism
2, 3, 5
7. Adding pedals
6
8. Attaching seat
1
9. Adjusting seat height
7, 8
2. Give a list of tasks and prerequisite tasks for cooking and serving a hamburger.
3. Construct a PERT chart from the following task table.
task
prerequisite tasks
time to perform
A
E
3
B
C, D
5
C
A
2
D
A
6
E
None
2
F
A, G
4
G
E
4
H
B, F
1
4. Construct a PERT chart from the following task table.
task
prerequisite tasks
time to perform
1
2
4
2
3
2
3
8
5
4
3
2
5
4 , 7
2
6
5
1
7
3
3
8
None
5