Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 work
hours in the painting department, and 1300 work hours in the packing department. Producing a chair
requires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4
hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours of
construction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department,
how many of each item is produced each week? Do not solve this problem, just write the augmented
matrix associated with this problem. Specify each variable used in the equation.
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