Answer:
a. The critical path is 16 minutes.
b. The length of time to complete the entire process = 23 minutes.
Explanation:
a) Data and Calculations:
Activity Optimistic time Most Likely Time Pessimistic Time
to complete to Complete to Complete
A Hike to the campsite 3 5 8
B Set up campsite 2 4 5
C Collect wood for fire 1 3 5
D Start a fire 1 2 3
E Find water 0.5 1 3
F Collect water & bring it
back to camp 1 2 4
G Purify the water 1 2 4
H Cook and eat dinner 1 3 4
I Put out fire 1 2 4
J Dispose of food waste 0.5 2 3
K Return from food
waste disposal 0.25 1 2
Total time 12.25 27 45
Critical path: Activity A - Activity B
Activity A - Activity C 3 - Activity D 2 - Activity E 1 - Activity F 2
Activity G 2 - Activity H 3 - Activity I and J 2 - Activity K 1
= 3 + 2 + 1 + 2+ 2 + 3 + 2 + 1 = 16 minutes
Length of time to complete the entire process = 27 - 4 = 23
The critical path identifies the longest stretch of dependent activities and measuring the time required to complete them from start to finish.
