question archive An office manager is buying used filing cabinets

An office manager is buying used filing cabinets

Subject:MathPrice: Bought3

An office manager is buying used filing cabinets. Each small file cabinet costs $4?, takes up 7 square feet of floor? space, and holds 9 cubic feet of files. Each large file cabinet costs $8?, takes up 8 square feet of floor? space, and holds 15 cubic feet of files. The total cost cannot exceed $64?, and the office has no more than 82 square feet of floor space available for the cabinets. How many of each file cabinet should the manager buy to maximize storage? capacity? What is the maximum storage? capacity?

 

 

 

A. 5 small file cabinets and 6 large file? cabinets; 144 cubic feet

B. 11 small file cabinets and 0 large file? cabinets; 99 cubic feet

C. 6 small file cabinets and 5 large file? cabinets; 129 cubic feet

D. 0 small file cabinets and 11 large file? cabinets; 165 cubic feet

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