An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z = 3x - 2y Constraints 2≤x≤8 y22 x-y2-4 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y at which the maximum occurs. The maximum value of the objective function is Find the values of x and y at which the maximum occurs. 8: X= 12 12- 2 + 4 42- 48 12

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section: Chapter Questions
Problem 8SGR
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An objective function and a system of linear
inequalities representing constraints are given.
Complete parts a. through c.
Objective Function z = 3x - 2y
Constraints
2≤x≤8
y22
x-y2-4
….
a. Graph the system of inequalities representing the
constraints.
Use the graphing tool to graph the system.
Click to
enlarge
graph
b. Find the value of the objective function at each
corner of the graphed region.
(Use a comma to separate answers as needed.)
c. Use the values in part (b) to determine the
maximum value of the objective function and the
values of x and y at which the maximum occurs.
The maximum value of the objective function is
Find the values of x and y at which the maximum
occurs.
X =
y =
12-
2
+
9
+12-
Transcribed Image Text:An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z = 3x - 2y Constraints 2≤x≤8 y22 x-y2-4 …. a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine the maximum value of the objective function and the values of x and y at which the maximum occurs. The maximum value of the objective function is Find the values of x and y at which the maximum occurs. X = y = 12- 2 + 9 +12-
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