Question

A home security company plans to open a calling center to respond to customer calls and

Answer 1

Answer:

$x+y\geqslant 12$

$x+2y\leqslant 20$

Step-by-step explanation:

Inequalities

The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is

Area=49x+80y

Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be

Operators=1x+2y=x+2y

The number of cubicles is

# cubicles=x+y

The conditions of the problem state that

$x+y\geqslant 12$

$x+2y\leqslant 20$