Formulate a linear program with generic notation that minmizes cost based on available working hours

National University maintains a powerful mainframe computer for research use by its faculty, PhD students, and research associates. During all working hours, an operator must be available to operate and maintain the computer, as well as to perform some programming services. Mike Fuentes, the director of the computer facility, oversees the operation. At the beginning of the fall semester, Mike is confronted with the problem of assigning different working hours to his operators. Because all the operators are currently enrolled in the university, they are available to work only a limited number of hours each day, as shown in the following table. Operators Wage RateMaximum Hours of Availability Mon.Tue. Wed. Thur. Fri K.C D.H . S.C K.S 10 12 0 0 0 0 0 0 There are five operators. They all have different wage rates because of differences in their experience with computers and in their programming ability. The above table shows their wage rates, along with the maximum number of hours that each can work each day (they can work any time of day). Each operator is guaranteed a certain minimum number of hours per week that will maintain an adequate knowledge of the operation. The level is set at 8 hours per week. The computer facility is to be open for operation from 8AM to 10PM, Monday through Friday with exactly one operator on duty during these hours. On Saturdays and Sundays, the computer is to be operated by other staff. Because of a tight budget, Mike has to minimize cost. He wishes to determine the number of hours he should assign to each operator on each day. Formulate the problem in generic form National University maintains a powerful mainframe computer for research use by its faculty, PhD students, and research associates. During all working hours, an operator must be available to operate and maintain the computer, as well as to perform some programming services. Mike Fuentes, the director of the computer facility, oversees the operation. At the beginning of the fall semester, Mike is confronted with the problem of assigning different working hours to his operators. Because all the operators are currently enrolled in the university, they are available to work only a limited number of hours each day, as shown in the following table. Operators Wage RateMaximum Hours of Availability Mon.Tue. Wed. Thur. Fri K.C D.H . S.C K.S 10 12 0 0 0 0 0 0 There are five operators. They all have different wage rates because of differences in their experience with computers and in their programming ability. The above table shows their wage rates, along with the maximum number of hours that each can work each day (they can work any time of day). Each operator is guaranteed a certain minimum number of hours per week that will maintain an adequate knowledge of the operation. The level is set at 8 hours per week. The computer facility is to be open for operation from 8AM to 10PM, Monday through Friday with exactly one operator on duty during these hours. On Saturdays and Sundays, the computer is to be operated by other staff. Because of a tight budget, Mike has to minimize cost. He wishes to determine the number of hours he should assign to each operator on each day. Formulate the problem in generic form