Route Optimization Problem for a Logistics CompanyThe logistics company XpreSS operates with 9 distribution centers strategically located aroundNacional level. The company must make daily deliveries of products from these centers ofdistribution to different destinations. Each connection between two distribution centers has an associateda transportation cost.1.- Distribution Centers (Nodes):- Arica, Buin, Calama, Dichato, El Quisco, Frutillar, Galvarino, Huasco, Illapel.2.- Transportation Costs (in monetary units):- Transportation cost from Arica to Buin: $30- Transportation cost from Arica to Calama: $25- Transportation cost from Arica to Dichato: $40- Transportation cost from Buin to Calama: $20- Transportation cost from Buin to Dichato: $35- Transportation cost from Buin to El Quisco: $45- Transportation cost from Calama to Dichato: $15- Transportation cost from Calama to El Quisco: $30- Transportation cost from Calama to Frutillar: $50- Transportation cost from Dichato to El Quisco: $25- Transportation cost from Dichato to Frutillar: $30- Transportation cost from Dichato to Galvarino: $40- Transportation cost from El Quisco to Frutillar: $20- Transportation cost from El Quisco to Galvarino: $35- Transportation cost from El Quisco to Huasco: $40- Transportation cost from Frutillar to Galvarino: $15- Transportation cost from Frutillar to Huasco: $25- Transportation cost from Frutillar to Illapel: $30- Transportation cost from Galvarino to Huasco: $20- Transportation cost from Galvarino to Illapel: $30- Transportation cost from Huasco to Illapel: $25Minimize the total transportation cost by finding optimal routes from each transportation centerdistribution to others.Each distribution center must be connected to at least one other center (it cannot beisolated).What are the optimal routes that minimize the total transportation cost for each center?of distribution?What is the minimum total transportation cost?
Route Optimization Problem for a Logistics Company
The logistics company XpreSS operates with 9 distribution centers strategically located around
Nacional level. The company must make daily deliveries of products from these centers of
distribution to different destinations. Each connection between two distribution centers has an associated
a transportation cost.
1.- Distribution Centers (Nodes):
- Arica, Buin, Calama, Dichato, El Quisco, Frutillar, Galvarino, Huasco, Illapel.
2.- Transportation Costs (in monetary units):
- Transportation cost from Arica to Buin: $30
- Transportation cost from Arica to Calama: $25
- Transportation cost from Arica to Dichato: $40
- Transportation cost from Buin to Calama: $20
- Transportation cost from Buin to Dichato: $35
- Transportation cost from Buin to El Quisco: $45
- Transportation cost from Calama to Dichato: $15
- Transportation cost from Calama to El Quisco: $30
- Transportation cost from Calama to Frutillar: $50
- Transportation cost from Dichato to El Quisco: $25
- Transportation cost from Dichato to Frutillar: $30
- Transportation cost from Dichato to Galvarino: $40
- Transportation cost from El Quisco to Frutillar: $20
- Transportation cost from El Quisco to Galvarino: $35
- Transportation cost from El Quisco to Huasco: $40
- Transportation cost from Frutillar to Galvarino: $15
- Transportation cost from Frutillar to Huasco: $25
- Transportation cost from Frutillar to Illapel: $30
- Transportation cost from Galvarino to Huasco: $20
- Transportation cost from Galvarino to Illapel: $30
- Transportation cost from Huasco to Illapel: $25
Minimize the total transportation cost by finding optimal routes from each transportation center
distribution to others.
Each distribution center must be connected to at least one other center (it cannot be
isolated).
What are the optimal routes that minimize the total transportation cost for each center?
of distribution?
What is the minimum total transportation cost?
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