To graph: the system of inequalities and to name the coordinates of vertices of feasible region.
To find: the maximum and minimum values of the given function for this region.
Answer to Problem 16PPS
Vertices of feasible region are (-6, 8), (2, 0), (5, 3) and (-3, 8)
Maximum value of given function is -10.
Minimum value of given function is -105.
Explanation of Solution
Given information: A system of inequalities is given as follows-
And a function is given as
Graph: The solution graph of given system of inequalities is given as follows-
The shaded region is the required solution graph of system of inequalities.
The maximum or minimum value of the given function can be only at corner points of feasible region.
Now
At point (-6, 8),
At point (2, 0),
At point (5, 3),
At point (-3, 8),
Clearly in the above four values -105 is minimum and -10 is maximum.
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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