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15.6. Bill builds benches in a small shop and he plans to operate five 8-hour days per week. Each bench has two ends and a top. It takes 5 minutes to cut and sand each end and 2 minutes to make each top. Assembly requires 8 minutes per bench, and painting requires 5 minutes per bench. Bill has one employee who makes the tops and ends. Bill will do the final assembly and painting. He also plans 1 hour per day for setup and teardown for each department. a. How many benches should he plan to build per week? b. How many hours per week are required for each person? c. Suggest ways to increase the number of benches produced per week. Setup time per day per center (hours) 1 Working hours per day per center 8 Working days per week per center 5 Available hours per week per center (excluding setup) cut and sand (employee) finish (Bill) end top assemble painting variable time (min) 5 2 8 5 units per bench 2 1 1 1 variable time per bench (min) Maximum capacity Number of benches planned to produce per week cut and sand finish Required total setup hours Required total for cutting and sanding or finishing Required total working hours

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