Assignment:
Question: Transportation
The West Company produces lawn-mower blades in three cities - Tucson, St Louis and Omaha. The production capacity of each plant is indicated below. These plants supply lawn mowers to markets in five cities, which have the demands, also indicated below. The following shipping cost for each route has also been determined, below. Production capacity of plants
|
PLANT
|
PRODUCTION
|
|
A. Tucson
|
400
|
|
B. St Louis
|
300
|
|
C. Omaha
|
600
|
Markets in five cities and their demand
|
MARKET
|
DEMAND
|
|
1. Iowa City
|
140
|
|
2. Denver
|
300
|
|
3. Tulsa
|
180
|
|
4. Dallas
|
225
|
|
5. San Diego
|
80
|
Shipping Cost for each route:
|
From
|
To
|
|
1
|
2
|
3
|
4
|
5
|
|
A
|
$18
|
$16
|
$13
|
$6
|
$3
|
|
B
|
16
|
12
|
9
|
2
|
6
|
|
C
|
8
|
10
|
11
|
12
|
16
|
Required: a) Derive an initial solution that would result in a low cost shipping plan, using
The minimum cell cost method
Vogel's approximation method