Formulate an LP model for the following problems. Singher Cola is one of the most successful cola companies in Asia. The first SingherCola was produced in 1933, and since then, it has been exported to 50 countriesworldwide.The cola is still a top seller in Thailand, and in one of its main distribution centers, amanager has been presented with a linear programming problem. One of the Singherfactories in the northern part of Bangkok supplies four different small villages fromthree of its plants, and the unitary cost of each box for shipment (in US$) is presentedin the table below.City ACity BCity CCity DPlant 186109Plant 248.12Plant 3149165There are other constraints that need to be considered when formulating the linearprogramming problem. Not all plants are able to supply the same quantity of colarequired. According to the last estimation, Plant A can supply a maximum of 35 perday, Plant B can supply 50, and Plant C can supply 40.However, City A needs at least 45 every day, City B needs 20, and Cities C and Dneed 30 to fulfil demand. Therefore, the manager has to combine the production fromthe three plants to satisfy the demand while still keeping a reasonable shipping price.

Singher Cola is one of the most successful cola companies in Asia. The first Singher Cola was produced in 1933, and since then, it has been exported to 50 countries worldwide. The cola is still a top seller in Thailand, and in one of its main distribution centers, a manager has been presented with a linear programming problem. One of the Singher factories in the northern part of Bangkok supplies four different small villages from three of its plants, and the unitary cost of each box for shipment (in US$) is presented in the table below. City A City B City C City D Plant 1 8 10 Plant 2 4 8 12 Plant 3 14 9 16 There are other constraints that need to be considered when formulating the linear programming problem. Not all plants are able to supply the same quantity of cola required. According to the last estimation, Plant A can supply a maximum of 35 per day, Plant B can supply 50, and Plant C can supply 40. However, City A needs at least 45 every day, City B needs 20, and Cities C and D need 30 to fulfil demand. Therefore, the manager has to combine the production from the three plants to satisfy the demand while still keeping a reasonable shipping price. 6,

Singher Cola is one of the most successful cola companies in Asia. The first Singher Cola was produced in 1933, and since then, it has been exported to 50 countries worldwide. The cola is still a top seller in Thailand, and in one of its main distribution centers, a manager has been presented with a linear programming problem. One of the Singher factories in the northern part of Bangkok supplies four different small villages from three of its plants, and the unitary cost of each box for shipment (in US$) is presented in the table below. City A City B City C City D Plant 1 8 10 Plant 2 4 8 12 Plant 3 14 9 16 There are other constraints that need to be considered when formulating the linear programming problem. Not all plants are able to supply the same quantity of cola required. According to the last estimation, Plant A can supply a maximum of 35 per day, Plant B can supply 50, and Plant C can supply 40. However, City A needs at least 45 every day, City B needs 20, and Cities C and D need 30 to fulfil demand. Therefore, the manager has to combine the production from the three plants to satisfy the demand while still keeping a reasonable shipping price. 6,

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Formulate an LP model for the following problems.

Singher Cola is one of the most successful cola companies in Asia. The first Singher
Cola was produced in 1933, and since then, it has been exported to 50 countries
worldwide.
The cola is still a top seller in Thailand, and in one of its main distribution centers, a
manager has been presented with a linear programming problem. One of the Singher
factories in the northern part of Bangkok supplies four different small villages from
three of its plants, and the unitary cost of each box for shipment (in US$) is presented
in the table below.
City A
City B
City C
City D
Plant 1
8
6
10
9
Plant 2
4
8.
12
Plant 3
14
9
16
5
There are other constraints that need to be considered when formulating the linear
programming problem. Not all plants are able to supply the same quantity of cola
required. According to the last estimation, Plant A can supply a maximum of 35 per
day, Plant B can supply 50, and Plant C can supply 40.
However, City A needs at least 45 every day, City B needs 20, and Cities C and D
need 30 to fulfil demand. Therefore, the manager has to combine the production from
the three plants to satisfy the demand while still keeping a reasonable shipping price.

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