A company manufactures desks, chairs, and bookshelves. The production of these items requires certain amounts of labor and raw materials. Specifically, each desk requires 4 person-hours of time in the assembly department, 2 person-hours in the finishing and inspection department, and 5 wood panels. Each chair requires 2 person-hours in assembly, 3 person-hours in finishing and inspection, and 2 wood panels. Each bookshelf requires 6 person-hours in assembly, 1 person-hour in finishing and inspection, and 4 wood panels. For the coming day, the company will have available 900 person-hours in the assembly department, 400 person-hours in the finishing and inspection department, and 700 wood panels. How many of each item should the company make during the coming day if it is to operate at full capacity?.Solve using gaussian elimination.



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