The oncology unit of Kansas General Hospital employs 30 registered nurses who provide nursing care in the morning, afternoon, and night shifts. Each shift needs to have 2 nurses, each shift needs to have one experienced and one novice nurse. A nurse can not work more than 2 consecutive shifts. Each nurse has the same number of working shifts. Every nurse needs to have the same amount of shifts during a month. Formulate an integer program that minimizes the number of nurses in each shift.

The oncology unit of Kansas General Hospital employs 30 registered nurses who provide nursing care in the morning, afternoon, and night shifts. Each shift needs to have 2 nurses, each shift needs to have one experienced and one novice nurse. A nurse can not work more than 2 consecutive shifts. Each nurse has the same number of working shifts. Every nurse needs to have the same amount of shifts during a month. Formulate an integer program that minimizes the number of nurses in each shift