The maximum value of
subject to
and
is
Text Solution
Verified by ExpertsA
: The given L.P.P can be written as,
Maximize : 
subject to 
Converting the inequations into equations, we obtain the following equations.
or 
or 

On solving equations of lines we get the point of intersection
.
The shaded region
represents the feasible region of the given LPP.
The corner points of the feasible region are
,
and
.
The values of the objective function at these points are given in the following table.
Point | Value of objective function |
Clearly maximum value of
is 12 at
.
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