A manufacturing organization has received a turn$-$key project for manufacture of custom$-$made

equipment for one of its clients. The project involves several activities and the following table has the

details on the activities, duration and normal and crashing costs for the activities. Since it is a turnkey

project, the organization incurs a cost of $6,000$ per week towards special supervision of the project.

This cost is incurred for the length of the project duration. The project manager would like to know if

there is some merit in crashing the project duration. Evaluate the cost$$time trade$-$offs involved in the

project and suitably advise the project manager

Activity Predecessor Normal Duration $($Weeks$)$ Crash Duration $($Weeks$)$ Normal Cost Crash Cost

A $-6510,00015000$

B $-4312,00014000$

C A $5$ NA $16,000$ NA

D B $3$ NA $18000$ NA

E C $421100017000$

F D $422400032000$

G C $431200018000$

H D $965000068000$

I E$,$F $2$ NA $16000$ NA

J G$,$ H$,$ I $321000011000$