Use graphical method to solve the LPP:
Max z=2x1 + 4x2 subject to the constraints
X1 + 2x2 < 5,X1 + x2 < 4,x1, x2 > 0.
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Step-by-step explanation:
In the picture the blue region is the region described by the 5 constraints. ( x1 is the horizontal axis, x2 the vertical axis). Each of the constraints defines a half plane, the blue region is the intersection of those 5 half planes. The red lines are lines of constant z . The value of z increases by 1 as you move to the right. Now it is easy to identify the point, still in the blue region, where z takes on its maximum. You will notice, that in that maximum only two of the constraints play an active role.
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