An interviewer conducts only one type of interview each day. The number of phone

Question

An interviewer conducts only one type of interview each day. The number of phone interviews must be at least half of the personal interviews, but no more than twice of the personal interviews. The cost is $50 per day for a telephone interviewer and $70 per day for a personal interviewer. The firm wants to know the number of interviewers to hire in order to minimize the total cost of the survey.

Please, I need a linear programming expression for this question as I'm having doubts about the one I formulated.

Explanation / Answer

Let the phone interviews be denoted as X and personal interviews be denoted as Y.

Minimize Cost Z=70X+50Y

Subject to

Y/2 <= X <= 2Y

This is the linear programming problem.

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