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Q. 17. A manufacturing plant which operates round-the-clock has following staff requirements: Period Time (24 hrs. a day) Minimum staff requirement 1 2 3 6 a.m. -- 10 a.in. 10 a.m.2 p.m. 2 p.m.-6p.m. 6 p.m. 10 p.m. 10p.m. -2 am 2 a.m. - 6 a.m. 12 17 25 18 20 16 4 5 6 Staff reports to the store at the start of each period & works for 8 consecutive hours. The departmental store wants to find out the minimal number of staff to be employed so that there will be sufficient number of employees available for each period. You are required to formulate the problem as a linear programming model giving clearly the constraints & the objective function