Maximize f = 8x1 + 8x2 + 12x3 + 14x4 subject to 6x1 + 3x2 + 2x3

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Maximize f = 8x1 + 8x2 + 12x3 + 14x4 subject to
6x1 + 3x2 + 2x3 + x4 ≤ 350
3x1 + 2x2 + 5x3 + 6x4 ≤ 300
8x1 + 3x2 + 2x3 + x4 ≤ 400
x1 + x2 + x3 + x4 ≤ 100
Use the simplex method. Assume all variables are nonnegative.
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