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As office manager of her firm, Marcellyne has been directed to buy new filing cabinets. She knows that cabinet A costs $10, requires 6 square feet of floor space, and holds 9 cubic feet of files. Cabinet B costs $ 20, requires 8 square feet of floor space, and holds 12.5 cubic feet of files. She can spend at most $ 140 and her office has room for no more than 72 square feet of cabinets. Her goal is to maximize storage capacity within her money and space limitations. How many of each type of cabinet should she buy, and how many cubic feet of storage will she get?

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