In a customer care center, there are independent(random) "x1,x2,x3" number of calls arrive for every 30 minute interval for 48 intervals of a day in skill1, skill2, skill3. If I have a skill matrix of nth order reported as agent Groups(or agents) is rows and Skills in columns with priority(with 1 being highest). How would be the linear programming to determine the number of agents required for a random arrival of call per individual skills and how different it would be as compared to an independent agent group ?

Skill1 Skill2 Skill3
Skill Matrix > agent 1 :1 0 0
agent 2 :1 2 0
agent 3 :1 2 3
agent 4 :0 1 0