The following table provides the crash data for the project network in Problem 9.14. The normal activity times are considered to be deterministic and not probabilistic.

Crash the network the maximum amount, indicate how much it would cost the bank, and identify the new critical path(s).

Data in Problem 9.14.

The Farmer’s American Bank of Leesburg is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates as follows: 

Determine the earliest and latest activity times, the expected completion time and standard deviation, and the probability that the project will be completed in 40 weeks or less.

Activity Normal 9 a b d e 4 Activity Time (Weeks) g h i j k 11 7 10 1 5 6 3 1 2 8 Crash 7 9 5 8 1 3 5 3 1 2 6 Activity Cost ($) Normal 4,800 9,100 3,000 3,600 0 1,500 1,800 0 0 0 5,000 Crash 6,300 15,500 4,000 5,000 0 2,000 2.000 0 0 0 7,000