Question -
Tri-State Manufacturing has three factories (1, 2, and 3) and three warehouses (A, B, and C). The following table shows the shipping costs between each factory and warehouse, the factory manufacturing capabilities (in thousands), and the warehouse capacities (in thousands). Management would like to keep the warehouses filled to capacity in order to generate demand.
|
From\To
|
Warehouse A
|
Warehouse B
|
Warehouse C
|
Production Capability
|
|
Factor 1
|
$6
|
$5
|
$3
|
6
|
|
Factor 2
|
$8
|
$10
|
$8
|
8
|
|
Factor 3
|
$11
|
$14
|
$18
|
10
|
|
Capacity
|
7
|
12
|
5
|
|
a) Write the objective function and the constraint equations. Let X1A = 1,000s of units shipped from factory 1 to warehouse A, and so on.
b) Solve by computer.