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Minimize Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0.
  • a)
    Minimum Z = 7 at all the points on the line segment joining the points (6, 0) and (0, 3).
  • b)
    Minimum Z = 6 at all the points on the line segment joining the points (6, 0) and (0, 3).
  • c)
    Minimum Z = 8 at all the points on the line segment joining the points (6, 0) and (0, 3).
  • d)
    Minimum Z = 9 at all the points (6, 0) and (0, 3).
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Minimize Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, ...
Objective function is Z = x + 2y ……………………(1).
The given constraints are : 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0 .

Here , Z = 18 is minimum at (0, 3) and (6 , 0) .
Minimum Z = 6 at all the points on the line segment joining the points (6, 0) and (0, 3).
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Minimize Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0.a)Minimum Z = 7 at all the points on the line segment joining the points (6, 0) and (0, 3).b)Minimum Z = 6 at all the points on the line segment joining the points (6, 0) and (0, 3).c)Minimum Z = 8 at all the points on the line segment joining the points (6, 0) and (0, 3).d)Minimum Z = 9 at all the points (6, 0) and (0, 3).Correct answer is option 'B'. Can you explain this answer?
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Minimize Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0.a)Minimum Z = 7 at all the points on the line segment joining the points (6, 0) and (0, 3).b)Minimum Z = 6 at all the points on the line segment joining the points (6, 0) and (0, 3).c)Minimum Z = 8 at all the points on the line segment joining the points (6, 0) and (0, 3).d)Minimum Z = 9 at all the points (6, 0) and (0, 3).Correct answer is option 'B'. 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 Minimize Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0.a)Minimum Z = 7 at all the points on the line segment joining the points (6, 0) and (0, 3).b)Minimum Z = 6 at all the points on the line segment joining the points (6, 0) and (0, 3).c)Minimum Z = 8 at all the points on the line segment joining the points (6, 0) and (0, 3).d)Minimum Z = 9 at all the points (6, 0) and (0, 3).Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Minimize Z = x + 2y subject to 2x + y ≥ 3, x + 2y ≥ 6, x, y ≥ 0.a)Minimum Z = 7 at all the points on the line segment joining the points (6, 0) and (0, 3).b)Minimum Z = 6 at all the points on the line segment joining the points (6, 0) and (0, 3).c)Minimum Z = 8 at all the points on the line segment joining the points (6, 0) and (0, 3).d)Minimum Z = 9 at all the points (6, 0) and (0, 3).Correct answer is option 'B'. Can you explain this answer?.
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