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 inf

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
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Faculty of Business and Management

BBA-DBA 122 Quantitative Methods For Business   

Qn.1:

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 north-west corner method to supply out all the stocks 
  2. and VAT method to supply out all the stocks 
  3. Compute their total costs incurred
  4. As an expert advice management accordingly ?

 

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