write a linear integer programming of the below problem Formulate the following manpower planning problem in mathematical programming terms. Given a set of workers and a set of 15 working hours per...

write a linear integer programming of the below problem

Formulate the following manpower planning problem in mathematical programming terms.
Given a set of workers and a set of 15 working hours per day with a required staffing per hour. Determine
the minimum number of people required to cover the workload requirements, knowing that a person
works in shifts that cover 7 hours and a person starting in hour contributes to the workload in hours
i,........,i+ 6 (eg: a person starting in hour 3 contributes to the workload in hours 3,4,5,6,7,8,9).