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

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Basic Math

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

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?

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