Natural Furniture Company manufactures three outdoor products, chairs, benches, and tables. Each product must pass through the following departments before it is shipped: sawing, sanding, assembly, and painting. The time requirements (in hours) are summarized in the tables below.The production time available in each department each week and the minimum weekly production requirement to fulfill contracts are as follows: Minimum Capacity ProductionDepartment (In Hours) Product LevelSawing 450 Chairs 100Sanding 400 Benches 50Assembly 625 Tables 50Painting 550 Hours Required UnitProduct Sawing Sanding Assembly Painting ProfitChairs 1.5 1.0 2.0 1.5 $15Benches 1.5 1.5 2.0 2.0 $10Tables 2.0 2.0 2.5 2.0 $20The production manager has the responsibility of specifying production levels for each product for the coming week. Formulate as a problem to maximize profit.
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