RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and ¾ ton of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, 1/5 ton of material 2, and 3/10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Raw Material Material 1 Material 2 Material 3 Amount Available for Production 20 tons 5 tons 21 tons
RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production process, three raw materials are blended (mixed together) to produce two products: a fuel additive and a solvent base. Each ton of fuel additive is a mixture of 2/5 ton of material 1 and ¾ ton of material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, 1/5 ton of material 2, and 3/10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of fuel additive produced and $30 for every ton of solvent base produced. RMC's production is constrained by a limited availability of the three raw materials. For the current production period, RMC has available the following quantities of each raw material: Raw Material Material 1 Material 2 Material 3 Amount Available for Production 20 tons 5 tons 21 tons
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Use the GRAPHICAL METHOD to solve this LP problem.
Transcribed Image Text:RMC, Inc., is a small firm that produces a variety of chemical products. In a particular production
process, three raw materials are blended (mixed together) to produce two products: a fuel additive
and a solvent base. Each ton of fuel additive is a mixture of %/ ton of material 1 and 3/ ton of
material 3. A ton of solvent base is a mixture of 1/2 ton of material 1, 1/5 ton of material 2, and
3/10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton of
fuel additive produced and $30 for every ton of solvent base produced.
RMC's production is constrained by a limited availability of the three raw materials. For the current
production period, RMC has available the following quantities of each raw material:
Raw Material
Material 1
Material 2
Material 3
Amount Available for
Production
20 tons
5 tons
21 tons
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