An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c z=2x-4y 2≤x≤6 y22 x-y2-5 Objective Function Constraints 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= 112 4 + fiat 45 Q G

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section10.8: Systems Of Linear Inequalities
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An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c.
z = 2x - 4y
Objective Function
Constraints
2≤x≤6
y22
x-y²-5
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 =
C
y =
I
15 -12
-9
-6
-B
45
A
42
-9
12
15
Transcribed Image Text:An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. z = 2x - 4y Objective Function Constraints 2≤x≤6 y22 x-y²-5 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 = C y = I 15 -12 -9 -6 -B 45 A 42 -9 12 15
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