The linear program Max 3X1 + 2X2 is solved subject to the constraints i) X1 + X2 ≤ 10 ii) 3X1 + X2 ≤ 24 iii) X1 + 2X2 ≤ 16 and iv) non-negativity for both X1 and X2. Which of the following statements is true? The optimal solution occurs at (8, 0) and the optimal value is 24.
The linear program Max 3X1 + 2X2 is solved subject to the constraints i) X1 + X2 ≤ 10 ii) 3X1 + X2 ≤ 24 iii) X1 + 2X2 ≤ 16 and iv) non-negativity for both X1 and X2. Which of the following statements is true? The optimal solution occurs at (8, 0) and the optimal value is 24.
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
Transcribed Image Text:The linear program Max 3X1 + 2X2 is solved subject
to the constraints i) X1 + X2 ≤ 10 ii) 3X1 + X2 ≤ 24 iii)
X1 + 2X2 ≤ 16 and iv) non-negativity for both X1 and
X2. Which of the following statements is true?
The optimal solution occurs at (8, 0) and the optimal
value is 24.
The feasible region has five corner points.
The optimal solution occurs at the point (6, 6).
The optimal solution value is 41.
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