Mathematics · Linear Programming and Optimization
Consider the linear programming problem to maximize or minimize Z = 5x + 7y, subject to the constraints: x + y ≤ 6; 2x + 3y ≥ 3; x ≥ 3, y ≥ 3. In the feasible region, the objective function Z has:
- 1no solution because the feasible region is infinite
- 2both a minimum and a maximum value✓
- 3always a maximum value only
- 4always a minimum value only
Correct answer
both a minimum and a maximum value
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