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The objective function is .
The constraints are
Graph :
Graph the inequalities and shade the required region.
Note : The shaded region is the set of solution points for the objective function.
The point is not considered as .
Observe the graph,
Tabulate the solutions of each of two system of inequalities and obtain the intersection points.
System of boundary equations |
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Solution (vertex points) |
Find the value of objective function at the solution points.
At point , .
At point , .
At point , .
At point , .
Observe the values of ,
The maximum value of is when and .
The minimum value of is when and .
The maximum at point is .
The minimum at point is .
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