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I. Formulate the Linear Programming Model, to identify the Decision Variables, Objective Function and Subjects to constraints of the following problems. Analyze each problem carefully. 1. A problem often of concern to managers in processing industries is blending. Lisa Rankin must determine the proper amount of each raw material to purchase for the production of a certain product. Each gallon of the finished product must have a Combustion Pt of atleast 220°F. In addition, the product's Gamma content (Causes hydrocarbon pollution) cannot exceed 6% of volume and the products Zeta content (cleans the internal moving parts of engines) must be atleast 12% by volume. 3 Raw materials are available. Each raw mat’l has a different rating on these characteristics: RAW MATERIAL |C 280 Characteristics A B Combustion PT 200 180 4 3 Gamma Content Zeta Content 10 20 10 8 Raw material A costs $0.60 per gallon, B & C costs $0.40 & $0.50 per gallon respectively. The procurement manager wants to minimize the cost of raw materials per gallon of product. Use linear programming to find the optimal proportion of each raw material for a gallon of finished product.

I. Formulate the Linear Programming Model, to identify the Decision Variables, Objective Function and Subjects to constraints of the following problems. Analyze each problem carefully. 1. A problem often of concern to managers in processing industries is blending. Lisa Rankin must determine the proper amount of each raw material to purchase for the production of a certain product. Each gallon of the finished product must have a Combustion Pt of atleast 220°F. In addition, the product's Gamma content (Causes hydrocarbon pollution) cannot exceed 6% of volume and the products Zeta content (cleans the internal moving parts of engines) must be atleast 12% by volume. 3 Raw materials are available. Each raw mat’l has a different rating on these characteristics: RAW MATERIAL |C 280 Characteristics A B Combustion PT 200 180 4 3 Gamma Content Zeta Content 10 20 10 8 Raw material A costs $0.60 per gallon, B & C costs $0.40 & $0.50 per gallon respectively. The procurement manager wants to minimize the cost of raw materials per gallon of product. Use linear programming to find the optimal proportion of each raw material for a gallon of finished product.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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I. Formulate the Linear Programming Model, to identify the Decision Variables, Objective Function and Subjects to constraints of the following problems. Analyze each problem carefully. 1. A problem often of concern to managers in processing industries is blending. Lisa Rankin must determine the proper amount of each raw material to purchase for the production of a certain product. Each gallon of the finished product must have a Combustion Pt of atleast 220°F. In addition, the product's Gamma content (Causes hydrocarbon pollution) cannot exceed 6% of volume and the products Zeta content (cleans the internal moving parts of engines) must be atleast 12% by volume. 3 Raw materials are available. Each raw mat’l has a different rating on these characteristics: RAW MATERIAL |C 280 Characteristics A B Combustion PT 200 180 4 3 Gamma Content Zeta Content 10 20 10 8 Raw material A costs $0.60 per gallon, B & C costs $0.40 & $0.50 per gallon respectively. The procurement manager wants to minimize the cost of raw materials per gallon of product. Use linear programming to find the optimal proportion of each raw material for a gallon of finished product.
Transcribed Image Text:I. Formulate the Linear Programming Model, to identify the Decision Variables, Objective Function and Subjects to constraints of the following problems. Analyze each problem carefully. 1. A problem often of concern to managers in processing industries is blending. Lisa Rankin must determine the proper amount of each raw material to purchase for the production of a certain product. Each gallon of the finished product must have a Combustion Pt of atleast 220°F. In addition, the product's Gamma content (Causes hydrocarbon pollution) cannot exceed 6% of volume and the products Zeta content (cleans the internal moving parts of engines) must be atleast 12% by volume. 3 Raw materials are available. Each raw mat’l has a different rating on these characteristics: RAW MATERIAL |C 280 Characteristics A B Combustion PT 200 180 4 3 Gamma Content Zeta Content 10 20 10 8 Raw material A costs $0.60 per gallon, B & C costs $0.40 & $0.50 per gallon respectively. The procurement manager wants to minimize the cost of raw materials per gallon of product. Use linear programming to find the optimal proportion of each raw material for a gallon of finished product.
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