# Answer on Linear Algebra Question for Megan Girard

Question #21148

A company has two manufacturers U1 and U2, four distribution centers D1, D2, D3 and D4. The following table indicates the quantities produced by each manufacturer, and the quantities that they must deliver to each of their distribution center, as well as transportation cost in dollars for one unit towards these stores.

D1 D2 D3 D4 Production

U1 3 1 2 4 650

U2 6 3 3 2 500

Demand 350 300 300 200

The company is looking to satisfy the demand while minimizing transportation costs.

A)Find an initial solution using the North-West corner method

B) Demonstrate that the solution obtained in A is an optimal solution using the

stepping stone algorithm

D1 D2 D3 D4 Production

U1 3 1 2 4 650

U2 6 3 3 2 500

Demand 350 300 300 200

The company is looking to satisfy the demand while minimizing transportation costs.

A)Find an initial solution using the North-West corner method

B) Demonstrate that the solution obtained in A is an optimal solution using the

stepping stone algorithm

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