LINEAR PROGRAMMING

• By admin
• March 13, 2023
• Courses, Dial Jio, Dial Me, Education, GK, Teaching, Technology

Linear Inequation with Two Variables : These inequations are written as ax + by > c, ax + by < c.

If any ordered pair (x₁, y₁) satisfies the above inequalities then these are called to be solution of inequations.

The graph of these inequations is as follows :

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Making a Graph : For drawing the graph of an inequality, following method is adopted :

• In place of inequalities ax + by > c and ax + by < Write the equation ax

+ by = c.

• Make a table for the values of solutions of ax + by = c.
• Now mark the points obtained in the table and draw a This will be the graph of the equation ax + by = c.
• If the inequality is > or <, then the points lie on this line do not consider and line is be drawn dotted or
• If the inequality is ³ or £, then the point lie on the line consider and the line is to be made black (bold) or
• This line divides the plane XOY in two

To find the region which satisfies the inequation, we adopt the following rules :

• Select an arbitrary point which will be in either
• If the given inequation is satisfied then that will be the required region in which the arbitrary point
• If the given inequation is not satisfied then the another region is the required
• Lines in the required region are drawn or made

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