Write a system of two inequalities that describe the constraints in the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $6, takes up 5 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 14 cubic feet. He has only $66 to spend and the office has room for no more than 59 square feet of cabinets. Let x equal the number of cabinet A's bought and y equal the number of cabinet B's bought.

A. 6y + 8x ? 66, 5y + 8x ? 59
B. 7x + 14y ? 59, 59x + 66y ? 8
C. 6x + 8y ? 66, 5x + 8y ? 59
D. 7y + 14x ? 59, 59y + 66x ? 8


Answer: C

Mathematics

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