Consider the following linear programming problemMaximize X= 3y1 + 2y2Subject toy1 ≤ 4y2 ≤ 66y1 + y2 ≤ 18y1 ≥ 0, y2 ≥ 0The optimal value of the objective function for the above problem isCorrect answer is '18'. Can you explain this answer?

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Consider the following linear programming problem

Maximize X= 3y₁+ 2y₂

Subject toy₁ ≤ 4

y₂ ≤ 6

6y₁ + y₂ ≤ 18

y₁ ≥ 0, y₂ ≥ 0

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

Correct answer is '18'. Can you explain this answer?

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

Range: 18 to 18

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 toy1 ≤ 4y2 ≤ 66y1 + y2 ≤ 18y1 ≥ 0, y2 ≥ 0The optimal value of the objective function for the above problem isCorrect answer is '18'. Can you explain this answer?

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