A company wants to hire 4 vendors for the sale of 4 products, they could only sell one type of product. The following table (image) indicates what each seller charges for selling each of the products. The company wants to assign each seller a product, find all possible optimal assignments by pinpointing their optimal cost. Indicate which is the optimal solution and the optimal value: a) Seller 1 is assigned product 2, seller 2 is assigned product 4, seller 3 is assigned product 3, and seller 4 is assigned product 1. For an optimal cost of 15 b) Seller 2 is assigned product 1, Seller 4 is assigned product 2, Seller 3 is assigned product 3, and Seller 1 is assigned product 4. For an optimal cost of 15 c) Seller 1 is assigned product 2, seller 2 is assigned product 4, seller 3 is assigned product 3, and seller 4 is assigned product 1. For an optimal cost of 14 d) None of the above

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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2. Optimal solution
A company wants to hire 4 vendors for the sale of 4 products, they could only sell one type of product. The following table (image) indicates what each seller charges for selling each of the products. The company wants to assign each seller a product, find all possible optimal assignments by pinpointing their optimal cost. Indicate which is the optimal solution and the optimal value:

a) Seller 1 is assigned product 2, seller 2 is assigned product 4, seller 3 is assigned product 3, and seller 4 is assigned product 1. For an optimal cost of 15

b) Seller 2 is assigned product 1, Seller 4 is assigned product 2, Seller 3 is assigned product 3, and Seller 1 is assigned product 4. For an optimal cost of 15

c) Seller 1 is assigned product 2, seller 2 is assigned product 4, seller 3 is assigned product 3, and seller 4 is assigned product 1. For an optimal cost of 14

d) None of the above

Seller
1234
2
3
4
Product
1
2
3
14
5 8
2
12
6
7 8
3
2 4
6
4
475
7
9
10
Transcribed Image Text:Seller 1234 2 3 4 Product 1 2 3 14 5 8 2 12 6 7 8 3 2 4 6 4 475 7 9 10
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