A manufacturer of wooden chairs and tables must decide in advance how many of each item...
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A manufacturer of wooden chairs and tables must decide in advance how many of each item will be made in a given week. Use the table to find the system of inequalities that describes the manufacturer's weekly production. Use x for the number of chairs and y for the number of tables made per week. The number of work-hours available for construction and finishing is fixed. Hours Hours per per chair table Construction 3 5 2 4 Finishing A) x ≤ 5 y≤6 Total hours available 30 24 B) 3x + 5y ≤ 30 2x + 4y = 24 X20 y 20 C) 3x + 2y < 30 5x + 4y = 24 x20 y 20 D) 3x + 5y 20 2x + 4y ≥ 0 x ≤ 30 y ≤ 24 A manufacturer of wooden chairs and tables must decide in advance how many of each item will be made in a given week. Use the table to find the system of inequalities that describes the manufacturer's weekly production. Use x for the number of chairs and y for the number of tables made per week. The number of work-hours available for construction and finishing is fixed. Hours Hours per per chair table Construction 3 5 2 4 Finishing A) x ≤ 5 y≤6 Total hours available 30 24 B) 3x + 5y ≤ 30 2x + 4y = 24 X20 y 20 C) 3x + 2y < 30 5x + 4y = 24 x20 y 20 D) 3x + 5y 20 2x + 4y ≥ 0 x ≤ 30 y ≤ 24
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