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Corner 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. Maximum of F – Minimum of F =
- a)60
- b)48
- c)42
- d)18
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6...
Here the objective function is given by : F = 4x +6y .
Maximum of F – Minimum of F = 72 – 12 = 30 .
Maximum of F – Minimum of F = 72 – 12 = 30 .
Most Upvoted Answer
Corner points of the feasible region for an LPP are (0, 2), (3, 0), (6...
To find the maximum and minimum values of the objective function F = 4x - 6y, we need to evaluate it at each of the corner points of the feasible region.
Feasible Region:
The feasible region is the region formed by the intersection of the constraints in the linear programming problem. In this case, the corner points of the feasible region are (0, 2), (3, 0), (6, 0), (6, 8), and (0, 5).
Evaluating F at each corner point:
1. (0, 2):
F = 4(0) - 6(2) = -12
2. (3, 0):
F = 4(3) - 6(0) = 12
3. (6, 0):
F = 4(6) - 6(0) = 24
4. (6, 8):
F = 4(6) - 6(8) = -24
5. (0, 5):
F = 4(0) - 6(5) = -30
Finding the maximum and minimum values:
From the evaluations above, we can see that the maximum value of F is 24 at the point (6, 0), and the minimum value of F is -30 at the point (0, 5).
Therefore, the correct answer is option 'A' which states that the maximum of F is 24.
Feasible Region:
The feasible region is the region formed by the intersection of the constraints in the linear programming problem. In this case, the corner points of the feasible region are (0, 2), (3, 0), (6, 0), (6, 8), and (0, 5).
Evaluating F at each corner point:
1. (0, 2):
F = 4(0) - 6(2) = -12
2. (3, 0):
F = 4(3) - 6(0) = 12
3. (6, 0):
F = 4(6) - 6(0) = 24
4. (6, 8):
F = 4(6) - 6(8) = -24
5. (0, 5):
F = 4(0) - 6(5) = -30
Finding the maximum and minimum values:
From the evaluations above, we can see that the maximum value of F is 24 at the point (6, 0), and the minimum value of F is -30 at the point (0, 5).
Therefore, the correct answer is option 'A' which states that the maximum of F is 24.
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Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer?
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Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer?.
Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer?.
Solutions for Corner 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. Maximum of F – Minimum of F =a)60b)48c)42d)18Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
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