a home security company plans to open a calling center to respond to customer calls and emails. they plan to buy a large building with one large room to place cubicles where operators will work. there are two options for cubicles: small cubicles for one operator that is 49 square feet and larger cubicles for two operators that is 80 square feet. the company knows it wants a minimum of 12 cubicles, but because of the expense of additional employees, they want a maximum of 20 operators.

write a system of inequalities to model the calling center that would the company determine the number of cubicles to build and the number of operators to be employed. define any variables used.