In: Operations Management
A company has two warehouses A and B, and three retail outlets 1, 2 and 3. The warehouse capacities, retail outlet demands, and per-unit shipping costs ($) are shown in the table below. Formulate a linear programming (LP) model of this transportation problem with the objective of minimizing total shipping cost.
Retail Outlets Warehouses |
1 |
2 |
3 |
Total Supply |
A |
$5 |
$8 |
$3 |
500 |
B |
$7 |
$4 |
$6 |
250 |
Total Demand |
300 |
400 |
250 |
|
XA1 = # units shipped from warehouse A to retail outlet 1
XA2 = # units shipped from warehouse A to retail outlet 2
XA3 = # units shipped from warehouse A to retail outlet 3
XB1 = # units shipped from warehouse B to retail outlet 1
XB2 = # units shipped from warehouse B to retail outlet 2
XB3 = # units shipped from warehouse B to retail outlet 3