Set up the linear programming problem.An office manager is buying used filing cabinets. Small file cabinets cost $5 each and large file cabinets cost $11 each, and the manager cannot spend more than $73 on file cabinets. A small cabinet takes up 7 square feet of floor space and a large cabinet takes up 10 square feet, and the office has no more than 86 square feet of floor space available for file cabinets. The manager must buy at least 7 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. 5x + 11y ? 73
7x + 10y ? 86
y ? 7
B. 5x + 11y ? 73
10x + 7y ? 86
x ? 7
C. 5x + 11y ? 73
7x + 10y ? 86
x + y ? 7
D. 5x + 11y ? 73
7x + 10y ? 86
x + y ? 7
Answer: D
Mathematics
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