To sketch: the graph given system of inequalities and to name the coordinates of the vertices of the feasible region, and to find the maximum and minimum values of the given function for this region.
Answer to Problem 6CYU
The vertices of the feasible region are,
There is “No minimum value” of the given function and maximum value is
Explanation of Solution
Given information:
Given system of inequalities,
Given function
Calculation:
Consider the given function
Graph given system of inequalities on the same graph paper as follows using MAPLE as given below:
From the graph, the coordinates of the vertices of the feasible region are,
Compute the value of the given function
At point
At point
As the feasible region is unbounded, take any point from the feasible region and compute the value of function at the point. For example
The value of function at point
Hence, there is “No minimum value” of the given function and maximum value is
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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