Consider the objective function $Z=x-y$ subject to the constraints$$ \begin{aligned} & x+2 y \leq 10...

The constraints: $\left\{\begin{array}{l}x+2 y \leq 10 \\ x+y \geq 2 \\ x \geq 0 \\ y \geq 0\end{array}\right.$Identify the corner points (vertices) of the feasible region.Determine the minimum value of $Z$.First, convert the inequalities to equations to find the boundary lines.$$ \begin{gathered} x+2 y=10 \\ x+y=2 \end{gathered} $$Intersection Points with Axes1.For $x+2 y=10$ :When $x=0: 2 y=10 \Rightarrow y=5$ (Point: $(0,5)$ )When $y=0: x=10$ (Point: $(10,0)$ )2.For $x+y=2$ :When $x=0: y=2$ (Point: $(0,2)$ )When $y=0: x=2$ (Point: $(2,0)$ )$1.(0,5)$$2.\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,(2,0)$$$ \begin{array}{|c|c|} \hline(x, y) & Z=x-y \\ (0,5) & Z=0-5=-5 \\ \hline(2,0) & Z=2-0=2 \\ \hline \end{array} $$

Linear Programming - IAT-IISER Maths PYQs

The constraints:

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Identify the corner points (vertices) of the feasible region.Determine the minimum value of

Z

.First, convert the inequalities to equations to find the boundary lines.$

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Intersection%20Points%20with%20Axes1.For

x+2 y=10

%3AWhen

x=0: 2 y=10 \Rightarrow y=5

(Point%3A

(0,5)

)When

y=0: x=10

(Point%3A

(10,0)

)2.For

x+y=2

%3AWhen

x=0: y=2

(Point%3A

(0,2)

)When

y=0: x=2

(Point%3A

(2,0)

)

1.(0,5)$

2.%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C(2%2C0)

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Linear Programming

High-Yield Trend

Questions
1 MCQs

Official Solution

Linear Programming

High-Yield Trend

Questions 1 MCQs

Official Solution

Questions
1 MCQs