Sankk Techno Corporation needs to perform the tasks in the following list.

Activity	Immediate Predecessors	Optimistic Time	Most Likely Time	Pessimistic Time
A B C D E F G H I J K L	- - - A B C A B C D,G E,H F,I	2 4 2 3 6 4 1 2 3 2 4 3	3 6 5 4 7 7 5 5 5 2 4 3	4 8 8 5 8 10 9 8 7 2 4 3

Develop the associated PERT network diagram and determine the following:

• Critical paths (s), total project completion time and project variance.
• Probability that the project will be completed in16 weeks or less.
• Probability that the project will  take more than 14 weeks to complete.

The company has determined that the client will pay it a $10,000 bonus if it completes the project in 14 weeks or less. The associated normal times and costs as well as the crash times and costs are shown below:

Activity	Normal Time	Crash Time	Normal Cost ($)	Crash Cost ($)
A B C D E F G H I J K L	3 6 5 4 7 7 5 5 5 2 4 3	2 4 2 3 6 4 1 2 3 2 4 3	600 1200 1200 1200 1200 1200 2400 1200 1800 300 300 300	1200 2400 2400 1800 1800 3000 4800 3000 2400 300 300 300

Considering the cost involved to crash the project, determine if the company could crash the project in 14 weeks to receive the bonus.