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 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 90 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. 6x + 9y ? 93
5x + 10y ? 90
x + y ? 5
B. 6x + 9y ? 93
5x + 10y ? 90
x + y ? 5
C. 6x + 9y ? 93
10x + 5y ? 90
x ? 5
D. 6x + 9y ? 93
5x + 10y ? 90
y ? 5
Answer: B
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