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 the first time), for activity A is: $400, E is $415 and all other activities is: $100 (per week per activity). The crashing cost, second week and onwards(crashing the second time), for activity A is $1000 per week, E is $1200 per week and for all other activities is $200 per activity per week. You have a maximum crashing budget of $2505. The maximum possible reduction in the project duration will be:

a. 2 week

b. 5 weeks

c. 6 weeks

d. 4 weeks

e. 3 weeks