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Applications of Linear Programming Problem 1: Blending Problem Muscat Foods produce two types of honey, Blacken and Golden, which are both made by blending different proportions of raw honey purchased from three different countries: Tunisia, Australia and Canada. The raw honey costs OR2/kg from Tunisia, OR3/kg from Australia and OR4/kg from Canada. The proportions of the raw honeys in each product are shown in the following table: Blacken Golden Tunisia 50% 60% Australia 40% 20% Canada 10% 20% In the coming planning period there is 600kg of raw honey available from Tunisia, 500kg from Australia and 300kg from Canada. At least 200kg of Blacken and at least 300kg of Golden must be produced to satisfy the demand, and there is no limit on how much can be sold. The company receives revenues of OR4/kg for Blacken and OR3/kg for Golden. Muscat Foods wishes to plan production to maximise the profit. Formulate the problem as a linear programming model where B and G represent the amounts of Blacken and Golden to be produced in kg.

Applications of Linear Programming Problem 1: Blending Problem Muscat Foods produce two types of honey, Blacken and Golden, which are both made by blending different proportions of raw honey purchased from three different countries: Tunisia, Australia and Canada. The raw honey costs OR2/kg from Tunisia, OR3/kg from Australia and OR4/kg from Canada. The proportions of the raw honeys in each product are shown in the following table: Blacken Golden Tunisia 50% 60% Australia 40% 20% Canada 10% 20% In the coming planning period there is 600kg of raw honey available from Tunisia, 500kg from Australia and 300kg from Canada. At least 200kg of Blacken and at least 300kg of Golden must be produced to satisfy the demand, and there is no limit on how much can be sold. The company receives revenues of OR4/kg for Blacken and OR3/kg for Golden. Muscat Foods wishes to plan production to maximise the profit. Formulate the problem as a linear programming model where B and G represent the amounts of Blacken and Golden to be produced in kg.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 73P
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Applications of Linear Programming Problem 1: Blending Problem Muscat Foods produce two types of honey, Blacken and Golden, which are both made by blending different proportions of raw honey purchased from three different countries: Tunisia, Australia and Canada. The raw honey costs OR2/kg from Tunisia, OR3/kg from Australia and OR4/kg from Canada. The proportions of the raw honeys in each product are shown in the following table: Blacken Golden Tunisia 50% 60% Australia 40% 20% Canada 10% 20% In the coming planning period there is 600kg of raw honey available from Tunisia, 500kg from Australia and 300kg from Canada. At least 200kg of Blacken and at least 300kg of Golden must be produced to satisfy the demand, and there is no limit on how much can be sold. The company receives revenues of OR4/kg for Blacken and OR3/kg for Golden. Muscat Foods wishes to plan production to maximise the profit. Formulate the problem as a linear programming model where B and G represent the amounts of Blacken and Golden to be produced in kg.
Transcribed Image Text:Applications of Linear Programming Problem 1: Blending Problem Muscat Foods produce two types of honey, Blacken and Golden, which are both made by blending different proportions of raw honey purchased from three different countries: Tunisia, Australia and Canada. The raw honey costs OR2/kg from Tunisia, OR3/kg from Australia and OR4/kg from Canada. The proportions of the raw honeys in each product are shown in the following table: Blacken Golden Tunisia 50% 60% Australia 40% 20% Canada 10% 20% In the coming planning period there is 600kg of raw honey available from Tunisia, 500kg from Australia and 300kg from Canada. At least 200kg of Blacken and at least 300kg of Golden must be produced to satisfy the demand, and there is no limit on how much can be sold. The company receives revenues of OR4/kg for Blacken and OR3/kg for Golden. Muscat Foods wishes to plan production to maximise the profit. Formulate the problem as a linear programming model where B and G represent the amounts of Blacken and Golden to be produced in kg.
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