Classy Catering needs at least 15 food servers and 5 bussers to cater a large party. But in order to make profit, they can have no more than 34 food servers and 7 bussers working at an event. Write and graph a system of inequalities that represents this information.

Question

Classy Catering needs at least 15 food servers and 5 bussers to cater a large party. But in order to make  profit, they can have no more than 34 food servers and 7 bussers working at an event. Write and graph a system of inequalities that represents this information.

aveline · Answer

Let f represent food servers and b represent bussers.
15f+5b≤x≤34f+7b
The first parts means that x must be greater than or equal to 15 food servers and 5 bussers. The second part means that x must be less than or equal to 34 food servers and 7 bussers.