Question
Download Solution PDFCorner points of the feasible region for an LPP are (0, 2), (3, 0), (6, 0), (6, 8) and (0, 5).
Let F = 4x + 6y be the objective function.
The Minimum value of F occurs at
Answer (Detailed Solution Below)
Option 4 : any point on the line segment joining the points (0, 2) and (3, 0).
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Detailed Solution
Download Solution PDFExplanation:
Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6,0), (6, 8) and (0,5).
F = 4x + 6y
| Corner Points |
Corresponding Value of F = 4x + 6y |
|
| (0, 2) | 4 × 0 + 6 × 2 = 12 (Minimum) | |
| (3, 0) | 4 × 3 + 6 × 0 = 12 (Minimum) | |
| (6,0) | 4 × 6 + 6 × 0 = 24 | |
| (6, 8) | 4 × 6 + 6 × 8 = 72 (Maximum) | |
| (0,5) | 4 × 0 + 6 × 5 = 30 |
So the Minimum value of F occurs at any point on the line segment joining the points (0, 2) and (3, 0).
The Correct Option is (4).