Use Inequalities to Describe Limitations in a Situation
-An Office $\$ 6$

question 281

Multiple Choice

Use Inequalities to Describe Limitations in a Situation
-An office manager is buying used filing cabinets. Small file cabinets cost $\$ 6$ each and large file cabinets cost $\$ 8$ each, and the manager cannot spend more than $\$ 66$ on file cabinets. A small cabinet takes up 5 square feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 62 square feet of floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get free delivery. Let $x =$ the number of small file cabinets bought and $y =$ the number of large file cabinets bought. Write a system of inequalities that describes these constraints.

• A) \(6 x + 8 y \leq 66\)
• \(5 x + 9 y \leq 62\)
• \(x + y \geq 5\)
• B) \(6 x + 8 y \leq 66\)
• \(9 x + 5 y \leq 62\)
• \(x \geq 5\)
• C) \(6 x + 8 y \leq 66\)
• \(5 x + 9 y \leq 62\)
• \(x + y \leq 5\)
• D) \(6 x + 8 y \leq 66\)
• \(5 x + 9 y \leq 62\)
• \(y \geq 5\)

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