Final answer:
The student's question requires a network representation of a transportation problem, showing nodes for sources and destinations, and arcs representing routes with costs, matching the given supply and demand.
Step-by-step explanation:
The question involves drawing a network representation of a transportation problem, where the goal is to optimize the shipping of goods from multiple sources to various destinations within given supply and demand constraints. The network representation is typically a graph with nodes representing the sources and destinations, and directed edges (arcs) representing the possible routes between them, along with their costs.
- Each source will have a node labeled with its supply quantity.
- Each destination will have a node labeled with its demand quantity.
- Connect each source node to each destination node with an arc and label it with the corresponding cost.
For this specific problem:
- Source 1 has a supply of 8 units.
- Source 2 has a supply of 10 units.
- Source 3 has a supply of 6 units.
- Destination 1 has a demand of 4 units.
- Destination 2 has a demand of 2 units.
- Destination 3 has a demand of 3 units.
The arcs between the sources and destinations are to be labeled with the given costs, e.g., the cost from Source 1 to Destination 1 is 9 units.