Three suppliers A, B and C, each produce road grit which has to be delivered to council depots W, X, Y and Z. The stock held at each supplier and the demand from each depot is known. The cost, in pounds, of transporting one lorry load of grit from each supplier to each depot is also known. This information is given in the table.   Suppliers Depot W Depot X Depot Y Depot Z Stock (Lorry Loads) Supplier A 180 110 130 290 14 Supplier B 190 250 150 280 16 Supplier C 240 270 190 120 20 Demand (Lorry Loads) 11 15 14 10 50 Use the Vogel’s Approximation Technique (VAT or VAM)  and Least Cost Method to supply out all the stocks  Compute their total costs incurred  Testing for degeneracy for each method  As an expert advice management accordingly

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Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.