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 6 weeks. The crashing cost (per week), for the first week, for activity A is: $580, E is $585 and all other activities is : $145 (per week per activity). The crashing cost, second week and onwards, for activity A is $1160 per week, E is $1450 per week and for all other activities is $435 per activity per week. You have a maximum crashing budget of $2470. The maximum possible reduction in the project duration will be:

a.2 weeks

b.4 weeks

c.3 weeks

d.1 week

e.5 weeks