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The Health Fare Cereal Company makes three cereals using wheat, oats, and raisins. The portions and...

The Health Fare Cereal Company makes three cereals using wheat, oats, and raisins. The portions and profit of each cereal are the following:

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

The company has 2320 pounds of wheat, 1380 pounds of oats, and 700 pounds of raisins available. How many pounds of each cereal should it produce to maximize profit?

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