Cereal type 1 sells for $1.50/kg. It should contain at least 22% protein, 2% of minerals and vitamins, and at most 30% of starch by weight. Cereal type 2 sells for $1.00/kg. It should contain at least 30% starch by weight. The company would like to determine the most profitable product mix that meets the requirements described above.
Formulate this problem as an LP.
Percentage Content (by Weight) | ||||||
---|---|---|---|---|---|---|
Food | Protein | Starch | Minerals, Vitamins,etc. |
Other Material | Price ($/kg) |
Availability per Day (kg) |
1 | 45 | 12 | 4 | 39 | 0.68 | 1500 |
2 | 7 | 38 | 1 | 54 | 0.27 | 500 |
3 | 12 | 25 | 2 | 61 | 0.31 | 1000 |
4 | 27 | 40 | 3 | 30 | 0.45 | 2000 |