A new order filling system needs to be installed as soon as possible. The table on the next page lists that projects activities and their predecessors. Also provided is the cost information to reduce the standard activity times. (problem 7-32 in the textbook)

(a) Construct a project network for this problem. Determine the EST, EFT, LST, LFT, and slack for each activity. Also determine the critical path and project completion time.

(b) Set up and solve an LP model using Excel to crash this project to 24 days. What is the total crashing cost?

ACTIVITYIMMEDIATE PREDECESSORSSTANDARD TIME (Days)STANDARD COSTCRASH TIME (Days)CRASH COSTA--7$2,0005$3,500BA10$3,0008$4,700CA8$3,4007$3,700DC6$1,6004$2,600EC7$1,9004$4,000FD,E5$1,2003$2,800GB,C11$8,2008$10,900HF,G4$2,6003$3,800