Find the critical path. (b) Find the project completion time and the corresponding cost. (c) Suppose it is required to complete the project in 22 days. Find which activities to crash and by how much, to yield the minimum project cost.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Consider a construction project with the following data on precedence relationships, durations, and costs:

Activity Immediate predeccessor (s) Normal Time (days) Normal Cost ($) Crash Time (Days) Crash Cost ($)
A - 6 120 4 170
B - 4 120 2 220
C A 3 195 2 270
D A 4 320 2 520
E B, C 7 700 4 1075
F D, E 5 650 2 1100
G E 10 1600 6 2300

F and G are the terminal activities of the project.

(a) Find the critical path.

(b) Find the project completion time and the corresponding cost.

(c) Suppose it is required to complete the project in 22 days. Find which activities to crash and by how much, to yield the minimum project cost.

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