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

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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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

  1. Use the Vogel’s Approximation Technique (VAT or VAM) 
  2. and Least Cost Method to supply out all the stocks 
  3. Compute their total costs incurred 
  4. Testing for degeneracy for each method 

As an expert advice management accordingly 

 

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