b) Tshepile Wool Company (DWC) operates a large farm on which sheep are raised. The farm manager determined that for the sheep to grow in the desired fashion, they need at least minimum amounts of four nutrients (the nutrients are nontoxic so the sheep can consume more than the minimum without harm). The manager is considering three different grains to feed the sheep. Table 1 lists the number of units of each nutrient in each kilogram of grain, the minimum daily requirements of each nutrient for each sheep, and the cost of each grain. Table 1: Tshepile Wool Data Minimum Daily Requirement (units) 110 Grain 1 2 Nutrient A Nutrient B Nutrient C Nutrient D Cost (R/g) 20 30 70 10 10 18 50 30 90 2,5 10 14 41 36 96 The manager believes that as long as a sheep receives the minimum daily amount of each nutrient, it will be healthy and produce a standard amount of wool. The manager wants to raise the sheep at minimum cost. Formulate the above problem as an LP problem.

b) Tshepile Wool Company (DWC) operates a large farm on which sheep are raised. The farm manager determined that for the sheep to grow in the desired fashion, they need at least minimum amounts of four nutrients (the nutrients are nontoxic so the sheep can consume more than the minimum without harm). The manager is considering three different grains to feed the sheep. Table 1 lists the number of units of each nutrient in each kilogram of grain, the minimum daily requirements of each nutrient for each sheep, and the cost of each grain. Table 1: Tshepile Wool Data Minimum Daily Requirement (units) 110 Grain 1 2 Nutrient A Nutrient B Nutrient C Nutrient D Cost (R/g) 20 30 70 10 10 18 50 30 90 2,5 10 14 41 36 96 The manager believes that as long as a sheep receives the minimum daily amount of each nutrient, it will be healthy and produce a standard amount of wool. The manager wants to raise the sheep at minimum cost. Formulate the above problem as an LP problem.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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