Precalculus 2014
84

 PAGE: 431 SET: Exercises PROBLEM: 84

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.

Observe the graph,

Tabulate the solutions of each of two system of inequalities and obtain the intersection points.

 System of boundary equations Solution (vertex points)

Find the value of objective function at the solution points.

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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