A chain of grocery stores has 5 stores and 3 warehouses. The following table gives the distances from each warehouse to the five stores.
|
|
St1
|
St2
|
St3
|
St4
|
St5
|
|
Warehouse
|
1
|
10
|
15
|
25
|
30
|
12
|
|
Warehouse
|
2
|
25
|
20
|
10
|
22
|
15
|
|
Warehouse
|
3
|
30
|
22
|
15
|
10
|
30
|
Assume the cost of shipping one pound of an item per mile is $0.02 or 2 cents. If the weights of items each store must receive per week are given by the row vector W = [10,000 25,000 15,000 30,000 20,000], rank the warehouses in terms of cost effectiveness of shipping items to all stores.