The L. O. Gystics Corporation is in need of a new regional distribution center. The planning for this project is in the early stages, but the activities have been identified, along with their predecessors and their activity times in weeks. The table below provides this information. Develop a linear program that could be used to determine the length of the critical path (i.e., the minimum time required to complete the project). Solve this linear program to find the critical path and the time required to complete the project.

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IMMEDIATE ACTIVITY PREDECESSORS TIME (WEEKS) A 4 B 8 C A 5 D B 11 E A, B 7 F C, E 10 GH 16 F 6