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Swearingen and McDonald, a small furniture manufacturer, produces fine hardwood tables and chairs. Each product must go through three stages in the manufacturing process - assembly, finishing, and inspection. Each table requires 12 hours of assembly, 20 hours of finishing, and 2 hours of inspection. Each chair requires 4 hours of assembly, 16 hours of finishing, and 3 hours of inspection. The profit per table is $150 while the profit per chair is $100. Currently, each week there are 300 hours of assembly time available, 220 hours of finishing time, and 30 hours of inspection time. To keep a balance, the number of chairs produced should be at least twice the number of tables. Also, the number of chairs cannot exceed 6 times the number of tables. Formulate this as a linear programming problem. Carefully define all decision variables. Find the solution.
An assembly line with 17 tasks is to be balanced. The longest task is 2.1 minutes, and the total time for all tasks is 23 minutes. The line will operate for 480 minutes per day. a.
Consider - a small manufacturing company which produces high quality furniture has provided the following data: 2
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