Question: PLEASE PLEASE PLEASE ONLY FILL IN THE BLANK. STEPS ARE NOT NEEDED. I WILL LIKE. Contois Carpets is a small manufacturer of carpeting for home

PLEASE PLEASE PLEASE ONLY FILL IN THE BLANK. STEPS ARE NOT NEEDED. I WILL LIKE.

PLEASE PLEASE PLEASE ONLY FILL IN THE BLANK.

Contois Carpets is a small manufacturer of carpeting for home and office installations. Production capacity, demand, production cost per square yard (in dollars), and inventory holding cost per square yard (in dollars) for the next four quarters are shown in the network diagram below. Production Production Cost Demand Nodes Per Square Yard Nodes 0 Beginning 1 Inventory Beginning Inventory Quater 1 6 Demand Quater 1 400 Demand 50 2. 2 Quarter 1 2 Production Quarter 1 Production 600 0.25 3 Quarter 2 3 Production Quarter 2 Production 5 7 Quarter 2 7 Demand Quarter 2 500 Demand 300 Inventory Cost per Square Yard 0.25 4 Quarter 3 4 Production Quarter 3 Production 3 8 Quarter 3 8 Demand Quarter 3 400 Demand 500 0.25 5 Quarter 4 5 Production Quarter 4 Production 3 9 Quarter 4 9 Demand Quarter 4 400 Demand 400 0.25 10 Ending 10 Inventory 100 Ending Inventory Production Production Capacities (arcs) Demand i Develop a linear programming model to minimize cost. (Let xi; be the number of square yards of carpet which flows from node i to node j.) Min s.t. Beginning Inventory Flow Quarter 1 Production Flow Quarter 2 Production Flow 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 Xij > 0 for all i, j. Solve the linear program to find the optimal solution (in dollars). (X164 X26, X37, 48, 59, 67, X78, X89, X910) = with cost $

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