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Question
The maximum value of Z = 9x + 13y subject to constraints 2x + 3y ≤ 18, 2x + y ≤ 10, x ≥ 0, y ≥ 0 is ______.
Options
130
81
79
99
MCQ
Fill in the Blanks
Solution
The maximum value of Z = 9x + 13y subject to constraints 2x + 3y ≤ 18, 2x + y ≤ 10, x ≥ 0, y ≥ 0 is 79.
Explanation:
The feasible region is OABCO
At O (0, 0), z = 0
At A (5, 0), z = 45
At B (3, 4), z = 27 + 52 = 79
At C (0, 6), z = 78
∴ The maximum value of Z is 79.
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Linear Programming Problem (L.P.P.)
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