Answer:
Explanation:
We need to graph all the given constraints(inequalities). The intersection of the of all the graphed system of inequalities gives the vertices of the feasible region.
The first inequality is .
This is very simple to graph. It is the region bounded by the horizontal lines,
and .
The next constraint or inequality is
To graph this inequality, we need to graph the corresponding linear equation .
We plot the intercepts and .
We then draw a solid line through the points.
Next, we test the origin to determine which half plane to shade.
This statement is true so we shade the lower half plane.
We now graph the inequality,
To graph this inequality, we need to graph the corresponding linear equation .
We plot the intercepts and .
We then draw a solid line through the points.
Next, we test the origin to determine which half plane to shade.
This statement is true so we shade the lower half plane.
The feasible region is shown in the above diagram.
The vertices of the feasible region are;
We substitute the vertices into the objective function to obtain;
Therefore the maximum value is and it occurs at .
The minimum value is and it occurs a
ANSWER TO QUESTIONS 14 We need to graph all the - 1