The maximum value of Z = 4 x + 2 y subject to constraints 2 x + 3 y ≤ 18 , x + y ≥ 10 and x , y ≥ 0 is

Mathematics - Linear Programming Question with Solution | TestHub

MathematicsLinear ProgrammingGeneralEasy2 minPYQ_2018

MathematicsEasysingle choice

The maximum value of $Z = 4 x + 2 y$ subject to constraints $2 x + 3 y \leq 18, x + y \geq 10$ and $x, y \geq 0$ is

Answer:

Solution:

We have,

$Z = 4 x + 2 y$

And,

$2 x + 3 y \leq 18, x + y \geq 10$

Let

$L_{1} : 2 x + 3 y = 18$

$L_{2} : x + y = 10$

$L_{3} : x = 0$

$L_{4} : y = 0$

Then the feasible region is

From the figure, it is clear that there is no common area. So, we cannot find maximum value of $Z$ .

Hence, option $(d)$ is correct.

Stream:BITSATSubject:MathematicsTopic:Linear ProgrammingSubtopic:General

⏱ 2mℹ️ Source: PYQ_2018

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