Question: Production Nodes Production Cost Per square Yard Demand Nodes 1 Beginning 1 Inventory Beginning Inventory ter 1 Demand Quater 1 100 Demand 600 Quarter 1

Production Nodes Production Cost Per square Yard

Production Nodes Production Cost Per square Yard Demand Nodes 1 Beginning 1 Inventory Beginning Inventory ter 1 Demand Quater 1 100 Demand 600 Quarter 1 2 Product Quarter Production 300 Oberter 2 3 Production Quarter 2 Production Oerter 2 Derlund Quarter 2 500 Demand Inventory Cost per square Yard 0.25 3 300 Quarter Production Quarter 3 Production orter 3 Demand Quarter 400 Demand 0.25 400 Quarter 4 9 Production Quarter 4 Production Quarter 4 Demand Quarter 4 400 Demand 0.25 10 Duding 10 Inventory Ending 100 Inventory Production Production Capacities Demand Carcs Develop a linear programming model to minimize cost. (Let X;; be the number of square yards of carpet which flows from node i to node j.) Min 0X10 + 2X20 +5X37 +3X48 +3859 +3859 +0.25X67 +0.25X78 +0.25889 +0.25X910 s.t. Beginning Inventory Flow X10 = 50 X Quarter 1 Production Flow X26

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