It takes 20 hours and $400 to interview a candidate, and it takes 120 hours and $3600 to train an employee. a company has less than $95000 to interview and train employees, and it wants to spend at most 470 hours to do so. let c denote the number of candidates they interview and e the number of employees they train.

Let C denote the number of candidates they interview and E the number of employees they train.

If it takes 20 hours and $400 to interview a candidate, then it takes 20C hours and $400C to interview C candidates.

If it takes 120 hours and $3600 to train an employee, then it takes 120E hours and $3600E to train E employees.

Company has less than $95000, then 400C+3600E<95000.

Company wants to spend at most 470 hours, then .

You obtain the system of two inequalities:



Then you can solve this system according to your demands.

How many groups are there?