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

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) $7 x + 12 y \leq 104$
$7 x + 9 y \leq 92$
$x + y \geq 7$
B) $7 x + 12 y \leq 104$
$9 x + 7 y \leq 92$
$x \geq 7$
C) $7 x + 12 y \leq 104$
$7 x + 9 y \leq 92$
$x + y \leq 7$

D) $7 x + 12 y \leq 104$
$7 x + 9 y \leq 92$
$y\geq 7$