Iso-profit line in graphical solution in LPP. (Oct 2006)



Iso-profit line is the line which represents the optimal solution point in graphical solution. The slope of the line is calculated from the Objective function.


If the objective function is Z = 20×1 + 30×2, slope will be calculate as below.

Convert the equation such that x2 is on one side and all remaining values are on the other side.


Z = 20×1 + 30×2

30×2 = Z – 20×1

x2 = Z/30 – (20/30) x1

The co-efficient of x1 is the slope of the line.

Hence, slope is – 20/30 = – 2/3.

The negative sign indicates that the line slopes from left to right downwards. 2/3 indicates for every 2 cm on Y axis, it has 3 cm on X axis.

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