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Question
The maximum value of 2x + y subject to 3x + 5y ≤ 26 and 5x + 3y ≤ 30, x ≥ 0, y ≥ 0 is ______.
Options
12
11.5
10
17.33
MCQ
Fill in the Blanks
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Solution
The maximum value of 2x + y subject to 3x + 5y ≤ 26 and 5x + 3y ≤ 30, x ≥ 0, y ≥ 0 is 12.
Explanation:
| Corners Points | Value of z = 2x + y |
| (0,0) | z = 0 |
| (6,0) | z = 2(6) + 0 = 12 |
| `(9/2, 5/2)` | z = `2(9/2) + 5/2` = 11.5 |
| `(0, 26/5)` | z = `2(0) + 26/5` = 5.2 |
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