6. Mazy's Department Store has decided to stay open for business on a 24-hour basis. The store manager has divided the 24-hour day into six 4-hour periods and has determined the following minimum personnel requirements for each period:
Time Personnel Needed
Midnight4:00 A.M. 90
4:008:00 A.M. 215
8:00 A.M.Noon 250
Noon4:00 P.M. 65
4:008:00 P.M. 300
8:00 P.M.Midnight 125
Store personnel must report to work at the beginning of one of these time periods and must work for 8 consecutive hours. The store manager wants to know the minimum number of employees to assign to each 4-hour segment to minimize the total number of employees. Formulate and solve this problem.