MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Linear Programming Problems

What is graph...

Question

What is a graphical method in linear programming?

Open in App

Solution

Graphical method in linear programming
Linear programming is a method of optimization of a linear function to find a solution for linear problems.
In linear programming, we use the graphical method to plot the points in the graph that satisfied the linear equations on the coordinate plane.

Suggest Corrections

thumbs-up

1

Similar questions

Q. By graphical method, the solution of linear programming problem

Maximize Z = 3 x_{1} + 5 x_{2} Subject to 3 x_{1} + 2 x_{2} \leq 18 x_{1} \leq 4 x_{2} \leq 6 x_{1} \geq 0, x_{2} \geq 0, is

(a) x₁ = 2, x₂ = 0, Z = 6
(b) x₁ = 2, x₂ = 6, Z = 36
(c) x₁ = 4, x₂ = 3, Z = 27
(d) x₁ = 4, x₂ = 6, Z = 42

Q. 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

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

.

Q. By graphical method solve the following linear programming problem for minimization:
Objective function constraints

Z = 5 x + y

3 x + 5 y \geq 5

5 x + 2 y \leq 10

x \geq 0, y \geq 0

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

x + y \leq 200

4 x - y \leq 0

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

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Terminology

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Linear Programming Problems

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon