A firm produces a variety of chemical products. Three raw materials are mixed together to produce two products: a fuel additive (F) and a solvent base (S). Each ton of fuel additive is a mixture of 0.4 ton of material 1 and 0.6 of material 3. A ton of solvent base is a mixture of 0.5 ton of material 1, 0.2 ton of material 2, and 0.3 ton of material 3. The profit contribution is $40 per ton of fuel additive and $30 per ton of solvent base produced. Availability of the three raw materials are 20, 5, and 21 tons of materials 1, 2, and 3, respectively. The constraint that relates to limit on raw materials 1 is:
A firm produces a variety of chemical products. Three raw materials are mixed together to produce two products: a fuel additive (F) and a solvent base (S). Each ton of fuel additive is a mixture of 0.4 ton of material 1 and 0.6 of material 3. A ton of solvent base is a mixture of 0.5 ton of material 1, 0.2 ton of material 2, and 0.3 ton of material 3. The profit contribution is $40 per ton of fuel additive and $30 per ton of solvent base produced. Availability of the three raw materials are 20, 5, and 21 tons of materials 1, 2, and 3, respectively. The constraint that relates to limit on raw materials 1 is:
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 71P
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A firm produces a variety of chemical products. Three raw materials are mixed together to produce two products: a fuel additive (F) and a solvent base (S). Each ton of fuel additive is a mixture of 0.4 ton of material 1 and 0.6 of material 3. A ton of solvent base is a mixture of 0.5 ton of material 1, 0.2 ton of material 2, and 0.3 ton of material 3. The profit contribution is $40 per ton of fuel additive and $30 per ton of solvent base produced. Availability of the three raw materials are 20, 5, and 21 tons of materials 1, 2, and 3, respectively. The constraint that relates to limit on raw materials 1 is:
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