Problem - Arizona Plumbing
Arizona Plumbing, which makes, among other products, a full line of bathtubs must decide which of its factories should supply which of its warehouses.
Relevant data for Arizona Plumbing are presented in Table 1 and Table 2. Table 1 show, for example, that it costs Arizona Plumbing $5 to ship one bathtub from its Des Moines factory to its Albuquerque warehouse, $4 to Boston, and $3 to Cleveland.
Likewise, we see in Table 2 the capacities of Arizona Plumbing factories in Des Moines, Evansville, and Fort Lauderdale as well as the demands for warehouses in Albuquerque, Boston and Cleveland.
|
To
|
|
|
Albuquerque
|
Boston
|
Cleveland
|
|
Des Moines
|
15
|
14
|
13
|
|
From
|
Evansville
|
18
|
14
|
13
|
|
fort Lauderdale
|
19
|
17
|
15
|
|
|
Demand
|
|
|
Capacity
|
|
Albuquerque
|
500
|
|
Des Moines
|
300
|
|
Boston
|
400
|
|
Evansville
|
500
|
|
Cleveland
|
400
|
|
Fort Lauderdale
|
500
|
Formulate and solve the LP to find the least-cost means of shipping supplies from the factories to the warehouses.