Set Up the Linear Programming Problem

Set up the linear programming problem.
-An office manager is buying used filing cabinets. Small file cabinets cost $6 each and large file cabinets cost$9 each, and the manager cannot spend more than $93 on file cabinets. A small cabinet takes up 5 squarefeet of floor space and a large cabinet takes up 8 square feet, and the office has no more than 80 square feetof floor space available for file cabinets. The manager must buy at least 5 file cabinets in order to get freedelivery. 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.

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