Use the GRAPHICAL METHOD to solve this LP problem. RMC, Inc., is a small firm that produces a variety of chemical products. In a particular productionprocess, three raw materials are blended (mixed together) to produce two products: a fuel additiveand a solvent base. Each ton of fuel additive is a mixture of %/ ton of material 1 and 3/ ton ofmaterial 3. A ton of solvent base is a mixture of 1/2 ton of material 1, 1/5 ton of material 2, and3/10 ton of material 3. After deducting relevant costs, the profit contribution is $40 for every ton offuel 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 currentproduction period, RMC has available the following quantities of each raw material:Raw MaterialMaterial 1Material 2Material 3Amount Available forProduction20 tons5 tons21 tons

The linear function(cost function or the profit function etc.) that needs to be optimized(maximize…

Answered: RMC, Inc., is a small firm that…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 27EQ

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Solve Exercise 14 if a 25 solution of the same mixture is added instead of pure alcohol.
A diet supplies 0.8 grams of calcium per day, in addition to the nutrients listed in the table to the right. The amounts of calcium per unit (100 g) supplied by the three ingredients in the diet are as follows: 1.25 g from nonfat milk, 0.18 g from soy flour, and 0.8 g from whey. Another ingredient in the diet mixture is isolated soy protein, which provides the following nutrients in each unit: 78 g of protein, 0 g of carbohydrate, 3.6 g of fat, and 0.15 g of calcium. Complete parts (a) and (b) below. 0.42 X₁ x2 X3 11 34 45 3 0.8 CIES X4 (Type an integer or decimal for each matrix element.) Amounts (g) Supplied per 100 Amounts (g) g of Ingredient Supplied by Diet in One Day a. Set up a matrix equation whose solution determines the amounts of nonfat milk, soy flour, whey, and isolated soy protein necessary to supply precise amounts of protein, carbohydrate, fat, and calcium in the diet. Nutrient Nonfat Soy Whey Milk flour 36 Protein Carbohydrate 52 0 Fat 50 14 33 75 7 1.2 34 45 3
Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroystrees. The researchers will create four different concentrations of fungus mixtures: 0 milliliters per liter (ml/L),1.25 ml/L, 2.5 ml/L, and 3.75 ml/L. An equal number of the insects will be placed into 20 individual containers.The group of insects in each container will be sprayed with one of the four mixtures, and the researchers willrecord the number of insects that are still alive in each container one week after spraying. (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatmenthas the same number of units.
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