Question: Find the minimum and maximum values (if possible) of the objective function and the points where they occur, subject to the constraints x 0,

Find the minimum and maximum values (if possible) of the objective function and the points where they occur, subject to the constraints x ≥ 0, 3x + y ≥ 15, -x + 4y ≥ 8, and -2x + y ≥ -19.
1. z = x + 2y
2. z = 5x + 3y
3. z = x − y

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