In each of Exercises solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded.
Minimize c = x + y + z + w
subject to x + y ≥ 30
x + z ≥ 20
x + y − w ≤ 10
y + z − w ≤ 10
x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.
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