A producer wholesaler has three factories, and the fruit and vegetables it ships are supplied to four different distribution centers. The table below gives unit shipping costs to each warehouse, along with factory capacities and warehouse demands.
|
Warehouse
|
1
|
2
|
3
|
4
|
Capacity
|
|
Factory 1
|
$0.40
|
$0.80
|
$0.30
|
$0.60
|
800
|
|
Factory 2
|
$1.60
|
$0.40
|
$1.20
|
$1.00
|
1,000
|
|
Factory 3
|
$1.20
|
$0.20
|
$0.80
|
$0.40
|
600
|
|
Demand
|
400
|
400
|
600
|
1,000
|
|
Write the LP problem to minimize transportation costs.