An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z = 8x+y Constraints x20, y20 4x + 3y ≤ 24 x+y22 a. Graph the system of inequalities representing the constraints. GECED Use the graphing tool to graph the system. I Click to enlarge graph X= b. Find the value of the objective function at each corner of the graphed region. CID 2 (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.
An objective function and a system of linear inequalities representing constraints are given. Complete parts a. through c. Objective Function z = 8x+y Constraints x20, y20 4x + 3y ≤ 24 x+y22 a. Graph the system of inequalities representing the constraints. GECED Use the graphing tool to graph the system. I Click to enlarge graph X= b. Find the value of the objective function at each corner of the graphed region. CID 2 (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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An objective function and a system of linear inequalities
representing constraints are given. Complete parts a.
through c.
Objective Function z = 8x+y
Constraints
a. Graph the system of inequalities representing the
constraints.
x20, y20
4x + 3y ≤ 24
x+y22
Use the graphing tool to graph the system.
I
GECED
Click to
enlarge
graph
X=
b. Find the value of the objective function at each corner of
the graphed region.
y=
CID
(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.
2
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