Model Formulation

Oxbridge University has a large computer for use by academics, doctoral students and research assistants. During business hours there must be a worker to operate and maintain the computer and perform some programming services. Beryl Ingram, director of the computer center, coordinates the operation. At the beginning of the fall semester, Beryl is faced with the problem of assigning different work hours to her operators. Because these are college students, they are available for work only a limited number of hours per day, as shown in the table Mximo de horas disponibles Tasa Operadores salarial Lun. Mar. Mier. Jue. Vie. 6 0 0 6 6 0 6 6 0 0 4 K. C. D. H. H.B. S. C. K. S. N. K. $10.00/hora $10.10/hora $ 9.90/hora $ 9.80/hora $10.80/hora $11.30/hora 5 3 0 8 5 0 0 4 5 3 0 0 0 8 6 4 5 0 2 There are six operators (four undergraduate and two postgraduate). Everyone has different salaries based on their experience with computers and their aptitude for programming. The table shows these wages along with the maximum number of hours each day each can work. Each operator is guaranteed a minimum number of working hours per week that will maintain him with adequate knowledge of the operation. This level was arbitrarily set at 8 hours per week for undergraduate (K.C., D.H., H.B., and S.C.) and 7 hours per week for graduate (K.S. and N.K). The computer center must be open from 8 a.m. to 5 p.m. to 10 p.m. Monday through Friday with an operator on call during these hours. Saturdays and Sundays, it is operated by other people. Due to the tight budget, Beryl has to minimize the cost. Therefore, you want to determine the number of hours to allocate to each operator each day. Formulate a linear programming model for this problem. Concentracin