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 5 weeks. The crashing cost (per week), for the first week (crashing first time), for activity A is: $500, E is $515 and all other activities is : $125 (per week per activity). The crashing cost, second week and onwards(crashing second time), for activity A is $1250 per week, E is $1500 per week and for all other activities is $250 per activity per week. You have a maximum crashing budget of $3130. The maximum possible reduction in the project duration will be:

a.4 weeks

b.2 week

c.5 weeks

d.6 weeks

e.3 weeks