Consider the following system of linear equations which are constraints of a linear programming problem:

x + 2y + z = 4
2x + y + 2z = 5
x ≥ 0, y ≥  0, z ≥ 0

The objective function to be maximized is Z = 3x + 2y + 4z. How many basic feasible solutions does this linear programming problem have?​

1
1
2
2
3
3
4
4
5
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