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Solve the Problem 7x+12y1047 x + 12 y \leq 104 7x+9y927 x + 9 y \leq 92

Question 266

Multiple Choice

Solve the problem.
-An office manager is buying used filing cabinets. Small file cabinets cost $7 each and large file cabinets cost $12 each, and the manager cannot spend more than $104 on file cabinets. A small cabinet takes up 7 square
Feet of floor space and a large cabinet takes up 9 square feet, and the office has no more than 92 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) 7x+12y1047 x + 12 y \leq 104
7x+9y927 x + 9 y \leq 92
x+y7x + y \geq 7
B) 7x+12y1047 x + 12 y \leq 104
9x+7y929 x + 7 y \leq 92
x7x \geq 7
C) 7x+12y1047 x + 12 y \leq 104
7x+9y927 x + 9 y \leq 92
x+y7x + y \leq 7

D) 7x+12y1047 x + 12 y \leq 104
7x+9y927 x + 9 y \leq 92
y7y\geq 7



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