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1. Jack, the owner and manager of Jack's Box Company, wants to monitor usage at Work Center 3, which is a bottleneck in the system. He has collected data on the planned and actual input and output.
(a) Complete the input/output record.
(b) Describe your concerns based on the results of the input/output analysis.
2. Since Jack believes that Work Center 3 is his bottleneck, he has asked you to do the following-
(a) Calculate the percentage of planned output needed to complete the planned inputs (planned input 1 backlog/ planned output) at Work Center 3.
(b) Calculate the percentage of planned input that actually happened (actual input + backlog/planned input + backlog).
(c) Calculate the percentage of available output that was actually accomplished (actual output/planned output) at Work Center 3.ify your answer.
Consider the LP z¤ = max x1 + x2 + 2x3 s.t. x1 + 5x2 + 4x3 • 60 2x1 + 3x2 + 2x3 • 90 xi ¸ 0 8 i = 1; :::; 3: (a) Use the simplex method and follow the smallest index rule to f
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