NYNEX Must Schedule Round-The-Clock Coverage for Its Telephone Operators

Essay

NYNEX must schedule round-the-clock coverage for its telephone operators.To keep the number of different shifts down to a manageable level,it has only four different shifts.Operators work eight-hour shifts and can begin work at either midnight,8 a.m. ,noon,or 4 p.m.Operators are needed according to the following demand pattern,given in four-hour time blocks.
Formulate this scheduling decision as a linear programming problem,defining fully your decision variables and then giving the objective function and constraints.