Flair Company manufactures office desks at three locations: Winnipeg, Montreal, and Halifax. The firm distributes the desks through regional warehouses located in Edmonton, Toronto, and Ottawa. The firm finds that production costs per desk are identical at each factory, and hence the only relevant costs are those of shipping from each plant to each warehouse. The production capacities of the plants and the minimum demands at warehouses are given in the following table: From To Edmonton Toronto Ottawa Capacity (units) Winnipeg $10 $8 $6 100 Montreal $6 $4 $3 300 Halifax $18 $14 $10 300 Min Demand (units) 300 200 200 Formulate the problem as an LP model to minimize total shipping cost