Consider the following activity-on-arc project network,where the 12 arcs (arrows)represent the 12 activities (tasks)that must be performed to complete the project and the network displays the order in which the activities need to be performed.The number next to each arc (arrow)is the time required for the corresponding activity.Consider the problem of finding the longest path (the largest total time)through this network from start (node 1)to finish (node 9),since the longest path is the critical path.Formulate a BIP model for this problem. 
Definitions:
National Guard
A reserve military force composed of state National Guard militia units, which may be called upon by the state or federal government during emergencies or to fulfill other duties.
Little Rock
Capital city of the state of Arkansas, historically noted for the 1957 desegregation crisis at Little Rock Central High School, which became a landmark in the civil rights movement.
Full Amnesty
The complete forgiveness of offenses or crimes by a government, often related to immigration or political issues.
Late Rebellion
Often refers to the American Civil War or other significant insurrections, characterized by armed resistance against an established government or authority.
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