Solve the problem.An office manager is buying used filing cabinets. Each small file cabinet costs $5, takes up 6 square feet of floor space, and holds 10 cubic feet of files. Each large file cabinet costs $11, takes up 8 square feet of floor space, and holds 13 cubic feet of files. The total cost cannot exceed $78, and the office has no more than 78 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. 3 small file cabinets, 9 large file cabinets; 207 ft3
B. 0 small file cabinets, 12 large file cabinets; 156 ft3
C. 9 small file cabinets, 3 large file cabinets; 129 ft3
D. 12 small file cabinets, 0 large file cabinets; 120 ft3
Answer: C
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