find the a. decision variables b. objective function c. constraints

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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find the a. decision variables b. objective function c. constraints
)A certain analyst wants to solve a problem about a company that wants to minimize the total cost of transferring
500 units of finished products from three different production plants to three different storage facilities, and from these three
storage facilities to three different retailers (transacts with the customers). Each of the production plants, storage facilities,
and retailers have different capacities, which are shown in the following table.
Transfer Points
Production Plant
Storage Facility
Retailer
1
100 units
330 units
350 units
Production Plant
Storage facility
Capacities
2
150 units
240 units
100 units
The transportation cost per unit (in $) from the three production plants to the three storage facilities are shown below.
Storage facility
1
2
3
N
1 2 3
1
30
2 20
3 80
50
3
12
888 N
80
250 units
230 units
50 units
The transportation cost per unit (in $) from the three storage facilities to the three retailers are shown below.
Retaller
90 30
40
40
70
20
10
Help the analyst solve the problem by formulating the Linear Programming Model of the problem.
3
70
Transcribed Image Text:)A certain analyst wants to solve a problem about a company that wants to minimize the total cost of transferring 500 units of finished products from three different production plants to three different storage facilities, and from these three storage facilities to three different retailers (transacts with the customers). Each of the production plants, storage facilities, and retailers have different capacities, which are shown in the following table. Transfer Points Production Plant Storage Facility Retailer 1 100 units 330 units 350 units Production Plant Storage facility Capacities 2 150 units 240 units 100 units The transportation cost per unit (in $) from the three production plants to the three storage facilities are shown below. Storage facility 1 2 3 N 1 2 3 1 30 2 20 3 80 50 3 12 888 N 80 250 units 230 units 50 units The transportation cost per unit (in $) from the three storage facilities to the three retailers are shown below. Retaller 90 30 40 40 70 20 10 Help the analyst solve the problem by formulating the Linear Programming Model of the problem. 3 70
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