Overview

Inequalities Linear programming


Example of solving the Linear Programming problem
1. Define the constraints of the linear programming problem as a system of inequalities.
2. Solve this system of inequalities.
3. Find the intersection points of the borderlines of the inequalities’ graphs (polygon vertices).
4. Define the target function of the problem.
5. Display a level line that represents a possible target function.
6. Create a parallel to the drawn level line and move it through the intersection points (polygon vertices).
7. Draw the level line which is the desired solution of the problem.

The solving process is presented on the following screens:

Step 1 - Define constraints of a problem as a system of inequalities.            

Step 2 - Solve the system of inequalities.

Step 3 - Draw the level line and move it parallelly through the intersection points, drawn in advance.

Step 4 - Find the final target function graphically or, alternatively, calculate its maximal (minimal) value with the built-in calculator.

 

 

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Step 1: Define constraints of a problem as a system of inequalities

Step 1 - screenshot

 

 

 

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Step 2: Solve the system of inequalities

The solved system of inequalities. The solved system of inequalities after enlarging by zoom-in.
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Step 3: Draw the level line and move the parallel to it  through the intersection points drawn in advance

Step 3 - screenshot Previous
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Step 4: Find the desired target function and calculate its maximal value

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Dalin Inc. Head Office: 49 Harav Kook St., Herzliya, 46342 Israel;  Phone:(972-9)-9562371, Fax:(972-9)-9514361  
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