Consider the following linear programming problemMaximize X = 3y1 + 2y2Subject to y1 andle; 4,y2 andle; 6,6y1 + y2 andle; 18y1 andge; 0,y2 andge; 0The optimal value of the objective function for the above problem isa)25b)16c)18d)36Correct answer is option 'C'. Can you explain this answer?

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Consider the following linear programming problem

Maximize X = 3y₁+ 2y₂

Subject to y₁≤ 4,

y₂ ≤ 6,

6y₁ + y₂ ≤ 18

y₁ ≥ 0,y₂≥ 0

The optimal value of the objective function for the above problem is

a)
25
b)
16
c)
18
d)
36

Correct answer is option 'C'. Can you explain this answer?

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Consider the following linear programming problemMaximize X = 3y1 + 2y...

Area OABC is the area of feasible solution.

So value of objective function on feasible area points

At O(0,0), X = 0

At A(0,6), X = 2(6)=12

At B(2,6), X = 3(2)+2(6) = 18

At C(3,0), X = 3(3) = 9

So the optimal value of X = 18

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Consider the following linear programming problemMaximize X = 3y1 + 2y2Subject to y1 ≤ 4,y2 ≤ 6,6y1 + y2 ≤ 18y1 ≥ 0,y2 ≥ 0The optimal value of the objective function for the above problem isa)25b)16c)18d)36Correct answer is option 'C'. Can you explain this answer?

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Consider the following linear programming problemMaximize X = 3y1 + 2y2Subject to y1 ≤ 4,y2 ≤ 6,6y1 + y2 ≤ 18y1 ≥ 0,y2 ≥ 0The optimal value of the objective function for the above problem isa)25b)16c)18d)36Correct answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Consider the following linear programming problemMaximize X = 3y1 + 2y2Subject to y1 ≤ 4,y2 ≤ 6,6y1 + y2 ≤ 18y1 ≥ 0,y2 ≥ 0The optimal value of the objective function for the above problem isa)25b)16c)18d)36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider the following linear programming problemMaximize X = 3y1 + 2y2Subject to y1 ≤ 4,y2 ≤ 6,6y1 + y2 ≤ 18y1 ≥ 0,y2 ≥ 0The optimal value of the objective function for the above problem isa)25b)16c)18d)36Correct answer is option 'C'. Can you explain this answer?.

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