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Graphical Method of Solving Linear Programming Problems

Show the solu...

Question

Show the solution of the problem of linear programming under the following restrictions by graphical method: $x + y \leq 4, x \geq 0, y \geq 0$ .

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Solution

Shaded region indicates of the graph, indicates the solution of the given linear programming problem.

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Similar questions

Q. Solve the linear programming problem by graphical method with the following restrictions.

3 x + 5 y \leq 5; 5 x + 2 y \leq 10; x \geq 0, y \geq 0

Z = 5 x + 3 y

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Q. By graphical method solve the following linear programming problem for maximization.
Objective function Z = 1000 x + 600 y
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x + y \leq 200

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x \geq 20, x \geq 0, y \geq 0

Q. By graphical method solve the following linear programming problem for minimization:
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3 x + 5 y \geq 5

5 x + 2 y \leq 10

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Q. Solve the following Linear Programming Problems graphically :
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Z = 3 x + 5 y

x + y \leq 4, x \geq 0

y \geq 0

Q. Solve the following Linear programming problems graphically :
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z = 3 x + 4 y

subject to the constraints :

x + y \leq 4, x \geq 0, y \geq 0

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