Formulate this problem as a linear programming problem.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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Exercise 2.2
In a transport company, 6 trucks of Type 1, 10 trucks of Type 2 and 8 trucks of
Type 3 are available for each day's requirements. The tonnage capacities are 16 for Type 1, 12
for Type 2 and 9 for Type 3.
The company dispatches its trucks to Cities A and B.
Tonnage requirements are 20 at City A and 30 at City B;
excess tonnage capacity supplied to a city has no value.
Considering the distances, it is possible for the trucks to go
only once to the destinations everyday. The cost of sending
a truck to each city is given in Table
Formulate this problem as a linear programming problem.
Table
City A
City B
Cost of Sending Trucks
Type 1
Type 2
Type 3
2000
1800
1200
3000
2400
2200
Transcribed Image Text:Exercise 2.2 In a transport company, 6 trucks of Type 1, 10 trucks of Type 2 and 8 trucks of Type 3 are available for each day's requirements. The tonnage capacities are 16 for Type 1, 12 for Type 2 and 9 for Type 3. The company dispatches its trucks to Cities A and B. Tonnage requirements are 20 at City A and 30 at City B; excess tonnage capacity supplied to a city has no value. Considering the distances, it is possible for the trucks to go only once to the destinations everyday. The cost of sending a truck to each city is given in Table Formulate this problem as a linear programming problem. Table City A City B Cost of Sending Trucks Type 1 Type 2 Type 3 2000 1800 1200 3000 2400 2200
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