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In-Class Assignment - Transportation Algorithm The table below provides information (names, supply, demand, and cost/unit) for...

In-Class Assignment - Transportation Algorithm

The table below provides information (names, supply, demand, and cost/unit) for a transportation problem involving three warehouses and three customers. Using the information, set up and show an initial solution using the North West Corner (NWC) method and using a dummy row or column if needed. After that, answer the questions that follow the table.

Customer 1

Customer 2

Customer 3

Supply

Warehouse 1

10

8

13

800

Warehouse 2

12

15

9

1100

Warehouse 3

15

9

11

900

Demand

1000

750

900

What is the initial solution table and the total cost of that solution?

What does the dummy column tell you?

Which cells (list all of them) would be search directions for the algorithm?

Calculate the net change in cost for each search direction.

Is the current solution optimal (lowest total cost)? How do you know? If the current solution is not optimal, which route would you choose to use to determine the next (improved) solution?

How many units will you ship on the route you chose for the second solution?

When will the algorithm stop searching for improved solutions?

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