MGT PERT ATs
MGT PERT ATs
MGT PERT ATs
BSA-1B
MANAGEMENT SCIENCE PERT –CPM (ASSESSMENT TASKS)
1. Dayagsky Construction Firm, Inc. will soon begin to work on a building for US tea that was initially started by
another firm that has gone out of business. The construction firm’s schedule of activities and related expected
completion time for US tea project are presented in the following time table:
REQUIRED:
a. Prepare the PERT Network for the US Tea project
A E F
G
B C D
The shortest path time is A-B-C-E-F-G which only requires 15 weeks to complete the project while its
slack time is 5 weeks.
2. A company is faced with the following PERT network situation for a certain project (time in days):
2–4-6 A 13 – 20 -17
Start
5 – 8 - 11 6 – 8 -16 8 – 10 - 12
L I S T
2 – 12-22
9 – 12 -15
O
REQUIRED:
a. Determine the expected time ¿ ¿) for each activity.
The critical path is L-O-S-T which requires 34 days to complete the project.
The shortest path is L-I-S-T which only requires 27 days to complete the project.
3. PERT NETWORK. A company is faced with the following PERT network situation (time in days):
2-4 -6 B 1–5- 9
Start
2 – 6 - 10
A
4 – 8 - 12
D E
1–3-5
C 3-4–5
REQUIRED:
a. Calculate t e(expected time) for each activity. For each activity, the estimates are t 0, t m, t P, in that order.
A-B:
𝑡𝑒= = = 4 days
A-D:
𝑡𝑒= = = 8 days
b. Calculate the total time for each path and identify the critical path.
4. PERT NETWORK. All audits have a critical path, but auditors seldom recognize it as such without the aid of
network analysis. In the auditing of liabilities, the following activities and estimated times have been identified:
REQUIRED:
a. The PERT Network, identifying the critical path and including slack times.
5. New York Building Corporation uses the critical path method to monitor construction jobs. The company is
currently 2 weeks behind schedule on Job #181, which is subject to a P10,500 per week completion penalty.
Path A-B-C-F-G-H-I has a normal completion time of 20 weeks, and critical path A-D-E-F-G-H-I has a normal
completion time of 22 weeks. The following activities can be crashed.
REQUIRED:
a. New York Building desires to reduce the normal completion time Job #181 and, at the same time, report
the highest possible income for the year. New York Building should crash
a. Activity BC 1 week and activity EF 1 week c. Activity EF 2 weeks
b. Activity DE 1 week and activity BC 1 week d. Activity DE 1 week and activity EF 1
week