Aria is about to introduce a new product which involves six activities. Table $2$

illustrates relevant information about each activity: its immediate predecessor$($s$),$ the

duration, the cost, the crash time and the crash cost.

Table $2.$ Activity time$/$cost data.

a$)$ Draw the project network for the problem.

$5\%$

b$)$ Determine the EST, EFT, LST$,$ LFT and slack for each activity. Also determine the

critical path$($s$),$ the total project completion time and the total cost of the project.

$20\%$

c$)$ Aria knows that the competitor's product is scheduled to hit the market $35$ days from

now, so Aria must introduce her new product within $34$ days. What should be done to

achieve this at the least possible cost? Calculate the cost of the crashed project.