1. The BG Seed Company specializes in food products for birds and other household pets. In developing a new birdseed mix of 100 pounds, company nutritionists have specified that the mixture should contain at least 13% protein and 15% fat and no more than 14% fiber. The percentages of each of these nutrients in eight types of ingredients that can be used in the mix are given in the below table, along with the wholesale cost per pound. Formulate an LP model to determine what is the minimum-cost mixture that meets the stated nutritional requirements. Ingredient Sunflower seeds White millet Kibble com Oats Cracked com Wheat Safflower Canary grass seed Protein % 16.9 12.0 8.5 15.4 8.5 12.0 18.0 11.9 Fat % 26.0 4.1 3.8 6.3 3.8 1.7 17.9 4.0 Fiber % 29.0 8.3 2.7 2.4 2.7 2.3 28.8 10.9 Cost/lb $0.22 $0.19 $0.10 $0.10 $0.07 $0.05 $0.26 $0.11

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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1. The BG Seed Company specializes in food products for birds and other household pets. In developing a
new birdseed mix of 100 pounds, company nutritionists have specified that the mixture should contain at
least 13% protein and 15% fat and no more than 14% fiber. The percentages of each of these nutrients in
eight types of ingredients that can be used in the mix are given in the below table, along with the wholesale
cost per pound. Formulate an LP model to determine what is the minimum-cost mixture that meets the stated
nutritional requirements.
Ingredient
Sunflower seeds
White millet
Kibble com
Oats
Cracked com
Wheat
Safflower
Canary grass seed
Protein %
16.9
12.0
8.5
15.4
8.5
12.0
18.0
11.9
Fat %
26.0
4.1
3.8
6.3
3.8
1.7
17.9
4.0
Fiber %
29.0
8.3
2.7
2.4
2.7
2.3
28.8
10.9
Cost/lb
$0.22
$0.19
$0.10
$0.10
$0.07
$0.05
$0.26
$0.11
Transcribed Image Text:7 1. The BG Seed Company specializes in food products for birds and other household pets. In developing a new birdseed mix of 100 pounds, company nutritionists have specified that the mixture should contain at least 13% protein and 15% fat and no more than 14% fiber. The percentages of each of these nutrients in eight types of ingredients that can be used in the mix are given in the below table, along with the wholesale cost per pound. Formulate an LP model to determine what is the minimum-cost mixture that meets the stated nutritional requirements. Ingredient Sunflower seeds White millet Kibble com Oats Cracked com Wheat Safflower Canary grass seed Protein % 16.9 12.0 8.5 15.4 8.5 12.0 18.0 11.9 Fat % 26.0 4.1 3.8 6.3 3.8 1.7 17.9 4.0 Fiber % 29.0 8.3 2.7 2.4 2.7 2.3 28.8 10.9 Cost/lb $0.22 $0.19 $0.10 $0.10 $0.07 $0.05 $0.26 $0.11
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