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:
Processing Department
A specific section within a manufacturing facility focused on a particular stage of production or processing activity, essential for completing the manufacturing of goods.
Weighted-Average Method
An inventory costing method that assigns a cost to inventory items based on the average cost of all similar items purchased or produced.
Equivalent Units
A concept in process costing that quantifies the amount of materials or labor required to complete a unit of production, adjusting for partial completion.
Processing Department
A specific department in a manufacturing operation where a set of processes or operations are performed on materials to convert them into finished goods.
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