To graph: given system of inequalities.
To find: the maximum and minimum values of the given function of the region.
Answer to Problem 11PPS
The coordinates of vertices of feasible region are (-2, -2), (-8, -8), (6, -8) and (6, -8).
Maximum value of given function is -8.
Minimum value of given function is -152.
Explanation of Solution
Given information: a system of inequalities and a function are given as follows-
Graph: the solution graph of given inequalities is given by-
The shaded region is the solution graph of given system of inequalities. This is the feasible region.
Clearly the vertices of feasible region are (-2, -2), (-8, -8), (6, -8) and (6, -8).
Calculation:since the maximum or minimum value occurs at the vertices of feasible region.
Clearly, maximum value of given function is -8 and minimum value of given function is -152.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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