Maximize f = 7x + 10y + 4z subject to 3x + 5y + 4z 30

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Maximize f = 7x + 10y + 4z subject to
3x + 5y + 4z ≤ 30
3x + 2y ≤ 4
x + 2y ≤ 8
Use the simplex method to maximize the given functions. Assume all variables are nonnegative.
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