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 Supplier A Supplier B Supplier C Demand (Lorry Loads) Depot W Depot X Depot Y Depot Z Stock (Lorry Loads) 180 110 ERSI 130 290 N D150 190 250 280 240 270 120 11 15 10 190 14 a) Use the Vogel's Approximation Technique (VAT or VAM) b) and Least Cost Method to supply out all the stocks c) Compute their total costs incurred 14 16 20 50
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 Supplier A Supplier B Supplier C Demand (Lorry Loads) Depot W Depot X Depot Y Depot Z Stock (Lorry Loads) 180 110 ERSI 130 290 N D150 190 250 280 240 270 120 11 15 10 190 14 a) Use the Vogel's Approximation Technique (VAT or VAM) b) and Least Cost Method to supply out all the stocks c) Compute their total costs incurred 14 16 20 50
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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
Supplier A
Supplier B
Supplier C
Demand (Lorry Loads)
Depot W
180
190
240
11
Depot X Depot Y Depot Z Stock (Lorry Loads)
110/ERSI 130
250 AN D
270
15
150
190
14
d) Testing for degeneracy for each method
e) As an expert advice management accordingly
290
280
120
10
a) Use the Vogel's Approximation Technique (VAT or VAM)
b) and Least Cost Method to supply out all the stocks
c) Compute their total costs incurred
14
16
20
50
Expert Solution

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Transcribed Image Text: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
Supplier A
180
Supplier B
190
Supplier C
240
Demand (Lorry Loads) 11
Depot X Depot Y Depot Z Stock (Lorry Loads)
110 ERST 130
290
250 AN D
280
270
120
15
10
a) Testing for degeneracy for each method
b) As an expert advice management accordingly
150
190
14
14
16
20
50
Solution
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