मराठी

The feasible region for an LPP is shown in the figure. Let F = 3x – 4y be the objective function. Maximum value of F is ______. - Mathematics

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प्रश्न

The feasible region for an LPP is shown in the figure. Let F = 3x – 4y be the objective function. Maximum value of F is ______.

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  • 12

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उत्तर

The feasible region for an LPP is shown in the figure. Let F = 3x – 4y be the objective function. Maximum value of F is 12.

Explanation:

The feasible region is shown in the figure for which the objective function F = 3x – 4y

Corner point Value of F = 3x – 4y  
O(0, 0) F = 0  
A(12, 6) F = 3(12) – 4(6) = 12 ← Maximum
B(0, 4) F = 0 – 4(4) = – 16 ← Minimum
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पाठ 12: Linear Programming - Exercise [पृष्ठ २५५]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 12
पाठ 12 Linear Programming
Exercise | Q 30 | पृष्ठ २५५

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