There are 14 food ingredients available. They can be classified into seven groups. it is required to mix them into a minimum cost diet satisfying the following constraints: (i) Protein content should be at least 20%;
(ii) fat content should be at least 3%;
(iii) fiber content should be at most 12%;
(iv) Ca content should be between 1% and 2%;
(v) Ph content should be between 0.6% and 2%;
(vi) Ca content should be greater than or equal to the Ph content.
Data and other constraints are given below.
Percent of Nutrient Content Group Food Protein Fat Fiber Са Ph Cost Range of Range of Ingredient per ingredient Group ton (%) (%) 1 1 Dried beet 9 0.5 20 0.7 0.05 64 4 to 20 5 to 20 pulp 2 Dried citrus 6 3 16 2 0.1 35 1 to 20 pulp 3 Ground 8.5 4 2.5 0.02 0.25 55 1 to 25 yellow corn 4 Ground oats 12 4.5 12 0.1 0.4 54 1 to 25 20 to 35 3 5 Corn 3.5 0.6 0.1 19 5 to 14 5 to 14 molasses 4 6 Wheat 16 4 8 0.1 0.9 64 5 to 30 10 to 30 middlings Wheat bran 16 4 10.5 0.1 1.2 62 5 to 30 5 Distiller 26 8.5 9 0.15 0.6 77 5 to 15 2 to 25 grains 9 Corn gluten 25 2 0.3 0.65 66 1 to 25 feed 6 10 Cottonseed 51 1.5 13 0.1 1.2 74 1 to 35 3 to 35 meal 11 Linseed oil 34 1 8 0.35 0.8 85 1 to 35 meal 12 Soybean oil 45 0.5 6.5 0.2 0.6 108 1 to 35 meal 7 13 Ground 36 0.5 10 O to 2 limestone 14 Ground 32 66 1 to 2 phosphate N 3 4 00 N00 00 8 14