Linear Programming Graphical Method Calculator

This is the first problem that is solved when studying linear programming.
This method allows solving the linear programming problem for the function of two variables.
The solution is accompanied by detailed comments and a large number of pictures.
You can solve your problem or see all possible solutions to this problem.

Example №1. Function has a maximum value at the point
Example №2. Function has a minimum value at the point
Example №3. Function has a maximum value on the line segment
Example №4. Function has a minimum value on the line segment
Example №5. Function has a maximum value on the ray

Example №6. Function has a minimum value on the ray
Example №7. Function increases unlimitedly
Example №8. Function decreases unlimitedly
Example №9. Region of feasible solutions is a point
Example №10. Region of feasible solutions is an empty set

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Create a problem

Enter integers or ordinary fractions. For example: 12, -3/4.

Find the value of the function
F = x₁ + x₂
subject to the constraints:
	x₁ + x₂
	x₁ + x₂
	x₁ + x₂
	x₁ + x₂
	x₁ + x₂
x₁ ≥ 0 x₂ ≥ 0

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Service for Solving Linear Programming Problems

Linear Programming Graphical Method Calculator