J'Vita Ultra-Trendy Supply (JUTS) is a wholesale distributor of supplies for beauty and barbershops. JUTS can...

 

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J'Vita Ultra-Trendy Supply (JUTS) is a wholesale distributor of supplies for beauty and barbershops. JUTS can maintain wholesale centres for Clearall products, its most profitable line, only in two locations: Winnipeg and Montreal. JUTS ships Clearall products to retail outlets in Edmonton, Toronto, and Halifax. This month, JUTS Montreal centre has 1800 cases of Clearall products available for shipment, while its Winnipeg centre can ship 1300 cases. The Edmonton outlet places a monthly order of 1000 cases, Toronto an order of 1500 cases, while Halifax an order of 600 cases. Carol Smith, the manager of JUTS, has worked out a table of costs per case for shipping as shown in the table below, and she is interested in reducing the shipping cost as much as possible while meeting customer demand. Edmonton $5 Winnipeg Montreal $3 Need 1000 Toronto $5 $2 1500 Halifax $7 $4 600 Available 1300 1800 Formulate the problem as an LP problem to satisfy demand in Edmonton, Toronto, and Halifax while minimizing transportation costs. Do not solve! J'Vita Ultra-Trendy Supply (JUTS) is a wholesale distributor of supplies for beauty and barbershops. JUTS can maintain wholesale centres for Clearall products, its most profitable line, only in two locations: Winnipeg and Montreal. JUTS ships Clearall products to retail outlets in Edmonton, Toronto, and Halifax. This month, JUTS Montreal centre has 1800 cases of Clearall products available for shipment, while its Winnipeg centre can ship 1300 cases. The Edmonton outlet places a monthly order of 1000 cases, Toronto an order of 1500 cases, while Halifax an order of 600 cases. Carol Smith, the manager of JUTS, has worked out a table of costs per case for shipping as shown in the table below, and she is interested in reducing the shipping cost as much as possible while meeting customer demand. Edmonton $5 Winnipeg Montreal $3 Need 1000 Toronto $5 $2 1500 Halifax $7 $4 600 Available 1300 1800 Formulate the problem as an LP problem to satisfy demand in Edmonton, Toronto, and Halifax while minimizing transportation costs. Do not solve!

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