The Health Fare Cereal Company makes three cereals using wheat,oats, and raisins. The portions and profit of each cereal are thefollowing:
| Maximize z = 30x1 +70x2 +20x3, subject to| 32x1 | + | 40x2 | + | 63x3 | ≤ | 1600 | | 2x1 | + | 2x2 | + | x3 | ≤ | 40 | | 4x1 | + | 12x2 | + | 3x3 | ≤ | 120 | | x1 | ≥ | 0,x2 | ≥ | 0,x3 | ≥ | 0 |
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The company has 2320 pounds of wheat, 1380 pounds of oats, and700 pounds of raisins available. How many pounds of each cerealshould it produce to maximize profit?
