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प्रश्न
The feasible region of a linear programming problem with objective function Z = 5x + 7y is shown below:
The maximum value of Z − minimum value of Z is ______.
पर्याय
8
29
35
43
MCQ
रिकाम्या जागा भरा
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उत्तर
The maximum value of Z − minimum value of Z is 43.
Explanation:
For Z = 5x + 7y, evaluate at the corner points of the feasible region: (0, 0), (0, 2), (3, 4), (7, 0).
Values are 0, 14, 43, 35. The maximum value is 43, the minimum value is 0.
Hence, maximum − minimum = 43.
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