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a) Sethoga Concrete Company produces concrete. Two ingredients in concrete are sand (costs R6 per kilogram) and gravel (costs R8 per kilogram). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete must be gravel. Each day, 2,000 kilograms of concrete are produced. Sethoga Concrete Company aims to minimize the cost of production of concrete. Formulate the problem as an Linear Programming (LP) problem.

a) Sethoga Concrete Company produces concrete. Two ingredients in concrete are sand (costs R6 per kilogram) and gravel (costs R8 per kilogram). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete must be gravel. Each day, 2,000 kilograms of concrete are produced. Sethoga Concrete Company aims to minimize the cost of production of concrete. Formulate the problem as an Linear Programming (LP) problem.

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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a) Sethoga Concrete Company produces concrete. Two ingredients in concrete are sand (costs R6 per kilogram) and gravel (costs R8 per kilogram). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete must be gravel. Each day, 2,000 kilograms of concrete are produced. Sethoga Concrete Company aims to minimize the cost of production of concrete. Formulate the problem as an Linear Programming (LP) problem.
Transcribed Image Text:a) Sethoga Concrete Company produces concrete. Two ingredients in concrete are sand (costs R6 per kilogram) and gravel (costs R8 per kilogram). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete must be gravel. Each day, 2,000 kilograms of concrete are produced. Sethoga Concrete Company aims to minimize the cost of production of concrete. Formulate the problem as an Linear Programming (LP) problem.
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