Four suppliers have submitted sealed bids that quote the price per case of harinets delivered to four regional stores of the army. The bids are summarized in the following table. The regional store's requirements as well as the supplying capacities of the suppliers are shown. Supplier 4 has quoted for only region 1. Because of previous contractual obligations, region 3 will have to get a minimum of 2,000 cases from supplier 2. Region R₁ R₂ R₁ R₁ Max. supply (cases) S₁ 30 25 40 35 800 Supplier S₂ 35 32 38 40 1,000 S₂ 28 30 35 38 1,500 25 S₁ 600 Required (cases) 1,000 800 1,200 750 i. Formulate this problem as a transportation model including all the constraints. Find the initial basic solution using V.A.M. ii. iii. Use MODI method to establish whether the above solution obtained is optimal or not.

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
ChapterC: Cases
Section: Chapter Questions
Problem 1.8A
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Four suppliers have submitted sealed bids that quote the price per case of harinets delivered 
to four regional stores of the army. The bids are summarized in the following table. The 
regional store’s requirements as well as the supplying capacities of the suppliers are shown. 
Supplier 4 has quoted for only region 1. Because of previous contractual obligations, region 
3 will have to get a minimum of 2,000 cases from supplier 2. 
Supplier 
 Region 
R1 R2 R3 R4 Max. supply (cases) 
1
S 30 25 40 35 800 
2
S 35 32 38 40 1,000 
3
S 28 30 35 38 1,500 
4
S 25 - - - 600 
Required (cases) 1,000 800 1,200 750 
i. Formulate this problem as a transportation model including all the constraints. 
ii. Find the initial basic solution using V.A.M. 
iii. Use MODI method to establish whether the above solution obtained is optimal or 
not.

Four suppliers have submitted sealed bids that quote the price per case of harinets delivered
to four regional stores of the army. The bids are summarized in the following table. The
regional store's requirements as well as the supplying capacities of the suppliers are shown.
Supplier 4 has quoted for only region 1. Because of previous contractual obligations, region
3 will have to get a minimum of 2,000 cases from supplier 2.
Region
R₁
R₂
R₁ R4
Max. supply (cases)
30
25
S₁
40
35
800
Supplier
35
32
38
S₂
40
1,000
S₂
28
30
35
38
1,500
S₁
25
600
Required (cases)
1,000
800 1,200 750
i.
Formulate this problem as a transportation model including all the constraints.
Find the initial basic solution using V.A.M.
ii.
iii.
Use MODI method to establish whether the above solution obtained is optimal or
not.
Transcribed Image Text:Four suppliers have submitted sealed bids that quote the price per case of harinets delivered to four regional stores of the army. The bids are summarized in the following table. The regional store's requirements as well as the supplying capacities of the suppliers are shown. Supplier 4 has quoted for only region 1. Because of previous contractual obligations, region 3 will have to get a minimum of 2,000 cases from supplier 2. Region R₁ R₂ R₁ R4 Max. supply (cases) 30 25 S₁ 40 35 800 Supplier 35 32 38 S₂ 40 1,000 S₂ 28 30 35 38 1,500 S₁ 25 600 Required (cases) 1,000 800 1,200 750 i. Formulate this problem as a transportation model including all the constraints. Find the initial basic solution using V.A.M. ii. iii. Use MODI method to establish whether the above solution obtained is optimal or not.
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