I'm dealing with the following question and am not able to formulate a linear programming model for it: 
Suppose that the minimum number of security staff required at different hours are at the ith hour (i=1,2,…,24) are outlined as follows (see picture)
Each staff must work in 6 consecutive hours. The salary per hour is $35. Determine how many staff should start working at the beginning of ith hour to minimize the total cost.
Suppose that the minimum number of security staff required at different hours are at the ith hour (i=1,2,…,24) are outlined as follows (see picture)
Each staff must work in 6 consecutive hours. The salary per hour is $35. Determine how many staff should start working at the beginning of ith hour to minimize the total cost.
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