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A warehouse manager is responsible to store necessary items in storage for future sales. It has three options for storage, local shop storage, main shop

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A warehouse manager is responsible to store necessary items in storage for future sales. It has three options for storage, local shop storage, main shop storage, and warehouse. He can store up to 100 units in local shop, 200 units in main shop and 300 units in the warehouse. Looking at the demand, he is supposed to store 300 units of item A, 100 units of item Band 200 units of item C. When an item is requested, it takes different amount of time to retrieve it from each storage area based on its weight and required labor (Table below). Storage Area Item A Item B Item C Local shop storage 5 4 8 Main shop storage 20 15 25 Warehouse storage 100 65 80 Please formulate this problem into a balanced transportation problem that minimizes total time to access items (i.e., show the formulation on a transportation table, which should show the sources, the destinations, values of supplies and demands and transportation costs between sources and destinations). (15 points) A warehouse manager is responsible to store necessary items in storage for future sales. It has three options for storage, local shop storage, main shop storage, and warehouse. He can store up to 100 units in local shop, 200 units in main shop and 300 units in the warehouse. Looking at the demand, he is supposed to store 300 units of item A, 100 units of item Band 200 units of item C. When an item is requested, it takes different amount of time to retrieve it from each storage area based on its weight and required labor (Table below). Storage Area Item A Item B Item C Local shop storage 5 4 8 Main shop storage 20 15 25 Warehouse storage 100 65 80 Please formulate this problem into a balanced transportation problem that minimizes total time to access items (i.e., show the formulation on a transportation table, which should show the sources, the destinations, values of supplies and demands and transportation costs between sources and destinations). (15 points)

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