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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A large retailer is planning to open a new store to add to its two existing retail stores (A & B). Three locations in California are currently under consideration for the new store: South Coast Plaza (SCP), Fashion Island (FI), and Laguna Hills (LH). Each of these new stores under consideration will have a demand of 500 units. The product (construction building toy sets) is currently supplied from three warehouses (1, 2, and 3). Warehouses 1, 2 and 3 can each supply a total of 600, 340, and 200 units, respectively. The following two tables provide additional Information regarding supply/demand and shipping costs per unit reflected in $.
| Â |
Shipping costs/unit |
||
| Â |
SCP |
FI |
LH |
|
Warehouse 1 |
$Â Â Â Â Â Â 4.00 |
$Â Â Â Â Â Â 7.00 |
$Â Â Â Â Â Â 5.00 |
|
Warehouse 2 |
$Â Â Â 11.00 |
$Â Â Â Â Â Â 6.00 |
$Â Â Â Â Â Â 5.00 |
|
Warehouse 3 |
$Â Â Â Â Â Â 5.00 |
$Â Â Â Â Â Â 5.00 |
$Â Â Â Â Â Â 6.00 |
| Â |
A |
B |
Supply |
|
Warehouse 1 |
$Â Â Â 15.00 |
$Â Â Â Â Â Â 9.00 |
600 |
|
Warehouse 2 |
$Â Â Â 10.00 |
$Â Â Â Â Â Â 7.00 |
340 |
|
Warehouse 3 |
$Â Â Â 14.00 |
$Â Â Â 18.00 |
200 |
|
Demand: |
400 |
500 |
 |
Formulate this problem as a linear programming (LP) problem by identifying the decision variables (e.g., let X1 = no. of units shipped from A to B, etc.), objective function (e.g., Min $15X1 + $9X2 +….), and all relevant constraints for the South Coast Plaza (SCP) location only (e.g., the relevant supply and demand constraints).
Explain your answer like I'm five; I have no clue about this.
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