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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.

Advanced Engineering Mathematics
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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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 3 Nutrient A 20 30 70 Nutrient B 10 10 18 Nutrient C Nutrient D 50 30 90 14 6 2,5 10 Cost (R/g) 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.
Transcribed Image Text: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 3 Nutrient A 20 30 70 Nutrient B 10 10 18 Nutrient C Nutrient D 50 30 90 14 6 2,5 10 Cost (R/g) 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.
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