Model 2: Pig Farming
A farmer is raising pigs for market, and he wishes to determine the
quantities of the available types of feed that should be given to each pig
to meet certain nutritional requirements at a minimum cost. The
number of units of each type of basic nutritional ingredient contained
within a kilogram of each feed type is given in the following table, along
with the daily nutritional requirements and feed costs:
Nutritional ingredient
|
Kilogram of corn
|
Kilogram of tankage
|
Kilogram of alfalfa
|
Minimum daily requirement
|
Carbohydrates Protein Vitamins
|
90 30 10 |
20 80 20 |
40 60 50 |
200 180 150 |
Cost (in cents) |
35 |
30 |
25 |
|
Formulate the linear programming model for this problem.