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5. T-720 Points DETAILS ASWMSC115 6.2.035. MY NOTES ASK YOUR TEACHER Contois Carpets is a small manufacturer of carpeting for home and office stations Production capacity, demand, production cost per square yard (indoor), and inventory holding cost per square yard (in dollars) for the next four quarters are shown in the network diagram below. See EN Production Nodes Production Cost Per Square Yard Demand Nodes - Ogler 6 Dennd Being 1 tvety Beginning Inventory 50 400 Quater 1 Demand Quarter 1 2 Produto Quarter 1 Production 0. 600 5 Oberter 3 Production Quarter 2 Production Dorter 2 7 Dennd Quarter 2 300 Demand 300 300 Oberter 3 Production Quarter 2 Production Ourter 7 Dennd Quarter 2 500 Demand Inventory cost per Square Yard 0.25 Qorter 500 Charter 4 Production Quarter 3 Production & Det hand 100 Quarter Demand 035 5 Quarter 4 3 Production Quarter 4 Production 100 Quarter 9 Demand Quarter 100 Demand 400 Otarter 5 Production Quarter 4 Production 9 Qurter 4 9 Derhand Quarter 4 400 Demand 0.25 10 Ending 10 invehtory 100 Ending Inventory Production Production Demand Capacities cares Develop a linear programming model to minimize cost. (Let xy be the number of square yards of carpet which flows from node /to node : Min S.L. Beginning Inventory Flow Capacities Production ares Demand Develop a linear programming model to minimize costat be the number of squareyards of carpet whichows from node/toode.) Min st Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production How Quarter 3 Production Flow Quarter 4 Production how Quarter 1 Demand Flow Quarter 2 Demand how Quarter 3 Demand Flow Quarter 4 Demand Flow Min s.t. Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production Flow UN Quarter 3 Production Flow Quarter 4 Production Flow Quarter 1 Demand Flow Quarter 2 Demand Flow Quarter 3 Demand Flow Quarter 4 Demand Flow Ending Inventory Flow X; 20 for all /,. Solve the linear program to find the optimal solution (in dollars). (4161 X261 X37Xa81 Xs9iX67, X70, X8gr X900) =( with cost $