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Consider the following Linear Programming Problem (LPP).
Maximise Z = x1 + 2x2
Subject to:
x1 ≤ 2
x2 ≤ 2
x1 + x2 ≤ 2
x1 + x2 ≥ 0  (i.e. +ve decision variables)
What is the optimal solution to the above LPP?
  • a)
    2, 2
  • b)
    0, 2
  • c)
    2, 0
  • d)
    0, 0
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Consider the following Linear Programming Problem (LPP).Maximise Z = x...
Given
Objective function
Maximize, Z = X1 + 2X2
Constraints

Non neagative constarints
X1, X2 ≥ 0
The above equations can be written as,

Plot the above equations on X1 - X2 graph and find out the solution space.

Now, find out the value of the objective function at every extreme point of solution space.

Since the value of the objective function is maximum at A. There A(0, 2) is the optimal solution.
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Consider the following Linear Programming Problem (LPP).Maximise Z = x1 + 2x2Subject to:x1 ≤ 2x2 ≤ 2x1 + x2 ≤ 2x1 +x2 ≥ 0(i.e. +ve decision variables)What is the optimal solution to the above LPP?a)2, 2b)0, 2c)2, 0d)0, 0Correct answer is option 'B'. Can you explain this answer?
Question Description
Consider the following Linear Programming Problem (LPP).Maximise Z = x1 + 2x2Subject to:x1 ≤ 2x2 ≤ 2x1 + x2 ≤ 2x1 +x2 ≥ 0(i.e. +ve decision variables)What is the optimal solution to the above LPP?a)2, 2b)0, 2c)2, 0d)0, 0Correct 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 Consider the following Linear Programming Problem (LPP).Maximise Z = x1 + 2x2Subject to:x1 ≤ 2x2 ≤ 2x1 + x2 ≤ 2x1 +x2 ≥ 0(i.e. +ve decision variables)What is the optimal solution to the above LPP?a)2, 2b)0, 2c)2, 0d)0, 0Correct 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 Consider the following Linear Programming Problem (LPP).Maximise Z = x1 + 2x2Subject to:x1 ≤ 2x2 ≤ 2x1 + x2 ≤ 2x1 +x2 ≥ 0(i.e. +ve decision variables)What is the optimal solution to the above LPP?a)2, 2b)0, 2c)2, 0d)0, 0Correct answer is option 'B'. Can you explain this answer?.
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