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Question
The maximum value of Z = 3x + 5y, subject to 3x + 2y ≤ 18, x ≤ a, y ≤ 6, x, y ≥ 0 is ______.
Options
30
32
27
36
MCQ
Solution
The maximum value of Z = 3x + 5y, subject to 3x + 2y ≤ 18, x ≤ a, y ≤ 6, x, y ≥ 0 is 36.
Explanation:
Given,
Maximize z = 3x + 5y
Subject to constraints
3x + 2y ≤ 18,
x ≤ a, y ≤ 6, x, y ≥ 0
| Corner point | z = 3x + 5y |
| A(4, 0) | 12 |
| B(4, 3) | 27 |
| C(2, 6) | 36 |
| D(0, 6) | 30 |
Maximum value of z is 36.
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Linear Programming Problem (L.P.P.)
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