An LMN sugar mill company, department stores wish to purchase 10,000 handbags of which 2,000 are of style A, 2,000 are of style B, 3,000 of style C and 3,000 are of style D. Four manufacturers P, Q, R and S bid to supply not more than the following quantities, all styles combined. P= 1,500, Q = 2,600, R = 3,500 and S = 3,000. The following table gives the cost per handbag of each style of the bidders in RO. per handbag:   Style Manufacturers P Q R S A 9 12 10 8 B 10 11 9 7 C 8 10 7 10 D 10 9 9 8

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 56P
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Q1.

 An LMN sugar mill company, department stores wish to purchase 10,000 handbags of which 2,000 are of style A, 2,000 are of style B, 3,000 of style C and 3,000 are of style D. Four manufacturers P, Q, R and S bid to supply not more than the following quantities, all styles combined. P= 1,500, Q = 2,600, R = 3,500 and S = 3,000.

The following table gives the cost per handbag of each style of the bidders in RO. per handbag:

 

Style

Manufacturers

P

Q

R

S

A

9

12

10

8

B

10

11

9

7

C

8

10

7

10

D

10

9

9

8

 

  • Use the transportation model to determine how should orders to be placed by the department store to minimize the total cost?
  • Compare transportation cost by both models(NWCR and LCM)
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