There are four critical paths in a network. A-B-C-D-E, A-F-E, A-B-H-J-K-E and A-S-T-E. Each activity in this network can be crashed by a maximum of 4 weeks. The crashing cost (per week), for the first week (crashing first time), for activity A is: $460, E is $475 and all other activities is : $115 (per week per activity). The crashing cost, second week and onwards(crashing second time), for activity A is $1150 per week, E is $1380 per week and for all other activities is $230 per activity per week. You have a maximum crashing budget of $2880. The maximum possible reduction in the project duration will be:

a.

6 weeks

b.

5 weeks

c.

3 weeks

d.

2 week

e.

4 weeks