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प्रश्न
Maximum value of 4x + 13y subject to constraints x ≥ 0, y ≥ 0, x + y ≤ 5 and 3x + y ≤ 9 is ______.
पर्याय
47
65
56
12
MCQ
रिकाम्या जागा भरा
उत्तर
Maximum value of 4x + 13y subject to constraints x ≥ 0, y ≥ 0, x + y ≤ 5 and 3x + y ≤ 9 is 65.
Explanation:
The feasible region lies on origin side of lines
x + y = 5 and 3x + y = 9, in first quadrant.
∴ The comer points of feasible region are
0 (0, 0), A (0, 5), B (2, 3) and C (3, 0)
∴ Maximum value of objective function
z = 4x + 13y is at A (0, 5)
∴ z = 4(0) + 13(5) = 65
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