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प्रश्न
The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and (40, 15). If Z = 18x + 9y be the objective function, then ______.
पर्याय
Z is maximum at (2, 72), minimum at (15, 20)
Z is maximum at (15, 20), minimum at (40, 15)
Z is maximum at (40, 15), minimum at (15, 20)
Z is maximum at (40, 15), minimum at (2, 72)
MCQ
रिकाम्या जागा भरा
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उत्तर
The corner points of the feasible region in graphical representation of a L.P.P. are (2, 72), (15, 20) and (40, 15). If Z = 18x + 9y be the objective function, then Z is maximum at (40, 15), minimum at (15, 20).
Explanation:
| Corner points | Z = 18x + 9y | Value of Z |
| (2, 72) | Z = 18 × 2 + 9 × 72 | 684 |
| (15, 20) | Z = 18 × 15 + 9 × 20 | 450 |
| (40, 15) | Z = 18 × 40 + 9 × 15 | 855 |
∴ Z is maximum at (40, 15) and minimum at (15, 20)
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