31. The following are the precedence requirements, normal and crash activities, and the normal and crash cost for developing the Covid-19 screening system for NWU-Mafikeng Campus. (35) Activity Preceding Activity Normal Time Crash Time Normal Cost (R) Crash Cost (R) Cost per week Number of weeks to decrease A - 4 2 10,000 12,000 B A 3 2 6,000 9,000 C A 2 1 4,000 6,000 D B 5 3 14,000 18,000 E B,C 1 1 9,000 9,000 F C 3 2 7,000 8,000 G E,F 4 2 13,000 25,000 H D,E 4 1 11,000 18,000 I H,G 6 5 20,000 29,000
a. Determine the cost per week for each activity? (05)
b. Determine the reduced number of weeks for each activity? (05)
c. Draw the network diagram using AOA. (10)
d. Identify the shortest possible time to complete the project. (03)
e. What is the estimated completion time for the project? (03)
f. To shorten the project by 3 weeks, which tasks would be shortened? (04)
g. What would the final total cost of the project be after crashing the project by 3 weeks? (05)