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Q2/ A chemical factory produces three types of materials (A, B, C). After reviewing the request, the producer found the need to produce no less than four tons of product (A) and two tons of product (B) and one ton of product (C) per day. These materials are produced from two other components, namely (X, Y), where each ton of (X) gives a quarter of a ton of (A), a quarter of a ton of (B), and (1/12) of (C). Each ton of (7), (1/2) ton of (A), (1/10) ton of (B), and (1/12) ton of (C). So if component (X) costs (250) dollars per ton and component (7) costs (400) dollars per ton, and the operating cost is (250) dollars per Tons of (X), (200) dollars for each ton of (7). Put the mathematical model for this problem in the form of linear programming?

Q2/ A chemical factory produces three types of materials (A, B, C). After reviewing the request, the producer found the need to produce no less than four tons of product (A) and two tons of product (B) and one ton of product (C) per day. These materials are produced from two other components, namely (X, Y), where each ton of (X) gives a quarter of a ton of (A), a quarter of a ton of (B), and (1/12) of (C). Each ton of (7), (1/2) ton of (A), (1/10) ton of (B), and (1/12) ton of (C). So if component (X) costs (250) dollars per ton and component (7) costs (400) dollars per ton, and the operating cost is (250) dollars per Tons of (X), (200) dollars for each ton of (7). Put the mathematical model for this problem in the form of linear programming?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter10: Introduction To Simulation Modeling
Section: Chapter Questions
Problem 41P: At the beginning of each week, a machine is in one of four conditions: 1 = excellent; 2 = good; 3 =...
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Q2/ A chemical factory produces three types of materials (A, B, C). After reviewing the request, the producer found the need to produce no less than four tons of product (A) and two tons of product (B) and one ton of product (C) per day. These materials are produced from two other components, namely (X, Y), where each ton of (X) gives a quarter of a ton of (A), a quarter of a ton of (B), and (1/12) of (C). Each ton of (7), (1/2) ton of (A), O (1/10) ton of (B), and (1/12) ton of (C). So if component (X) costs (250) dollars per ton and component (7) costs (400) dollars per ton, and the operating cost is (250) dollars per Tons of (X), (200) dollars for each ton of (7). Put the mathematical model for this problem in the form of linear programming?
Transcribed Image Text:Q2/ A chemical factory produces three types of materials (A, B, C). After reviewing the request, the producer found the need to produce no less than four tons of product (A) and two tons of product (B) and one ton of product (C) per day. These materials are produced from two other components, namely (X, Y), where each ton of (X) gives a quarter of a ton of (A), a quarter of a ton of (B), and (1/12) of (C). Each ton of (7), (1/2) ton of (A), O (1/10) ton of (B), and (1/12) ton of (C). So if component (X) costs (250) dollars per ton and component (7) costs (400) dollars per ton, and the operating cost is (250) dollars per Tons of (X), (200) dollars for each ton of (7). Put the mathematical model for this problem in the form of linear programming?
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