Model 23: Diet Problem
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 Ingredient |
Protein |
Fat |
Fiber |
Ca |
Ph |
Cost per Ton |
Range of Ingredient (%) |
Range of Group (%) |
| 1
| 1
| Dried beet pulp
| 9
| 0.5
| 20
| 0.7
| 0.05
| 64
| 4 to 20
| 5 to 20
|
|
| 2
| Dried citrus pulp
| 6
| 3
| 16
| 2
| 0.1
| 35
| 1 to 20
|
| 2
| 3
| Ground yellow corn
| 8.5
| 4
| 2.5
| 0.02
| 0.25
| 55
| 1 to 25
| 20 to 35
|
|
|
4 | Ground oats
| 12
| 4.5
| 12
| 0.1
| 0.4
| 54
| 1 to 25
|
| 3
| 5
| Corn molasses
| 3.5
|
|
| 0.6
| 0.1
| 19
| 5 to 14
| 5 to 14
|
| 4
| 6
| Wheat middlings
| 16
| 4
| 8
| 0.1
| 0.9
| 64
| 5 to 30
| 10 to 30
|
|
| 7
| Wheat bran
| 16
| 4
| 10.5
| 0.1
| 1.2
| 62
| 5 to 30
|
| 5
| 8
| Distiller grains
| 26 | 8.5
| 9
| 0.15
| 0.6
| 77
| 5 to 15
| 2 to 25
|
|
| 9
| Corn gluten feed
| 24
| 2
| 8
| 0.3
| 0.65
| 66
| 1 to 25
|
| 6
| 10
| Cottonseed meal
| 41
| 1.5
| 13
| 0.1
| 1.2
| 74
| 1 to 35
| 3 to 35
|
|
| 11
| Linseed oil meal
| 34
| 1
| 8
| 0.35
| 0.8
| 85
| 1 to 35
|
|
| 12
| Soybean oil meal
| 45
| 0.5
| 6.5
| 0.2
| 0.6
| 108
| 1 to 35
|
| 7
| 13
| Ground limestone
|
|
|
| 36
| 0.5
| 10
| 0 to 2
|
|
| 14
| Ground phosphate
|
|
|
| 32
| 14
| 66
| 1 to 2
|