Optimal solution: Optimal objective value

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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q.1 Only D and the graph please! thank you
Question 1.
min z = 3x - y
s.t.
x + y ≤ 10
x-y≥ 1.5
x + 3y > 5
x ≤ 9.5
y ≤ 3.5
x, y20 and integer
(a) On the following page, use the graphical solution method to identify the feasible
points. (Use the scale 1 by 1 for each small square so tha, you can visually
detect the feasible integer solutions.)
(b) Find the extreme points of the convex hull and calculate their objective values.
Extreme point 1:
Extreme point 2:
Extreme point 3:
Extreme point 4:
You are provided with the following integer program.
Extreme point 5:
Extreme point 6:
(c) Draw an isocost line that passes through the point (x = 5, y = 0) and find the ci.eccion
of optimization.
(d) Provide the optimal solution and optimal objective function value.
Optimal solution: x =
Optimal objective value:
y =
Transcribed Image Text:Question 1. min z = 3x - y s.t. x + y ≤ 10 x-y≥ 1.5 x + 3y > 5 x ≤ 9.5 y ≤ 3.5 x, y20 and integer (a) On the following page, use the graphical solution method to identify the feasible points. (Use the scale 1 by 1 for each small square so tha, you can visually detect the feasible integer solutions.) (b) Find the extreme points of the convex hull and calculate their objective values. Extreme point 1: Extreme point 2: Extreme point 3: Extreme point 4: You are provided with the following integer program. Extreme point 5: Extreme point 6: (c) Draw an isocost line that passes through the point (x = 5, y = 0) and find the ci.eccion of optimization. (d) Provide the optimal solution and optimal objective function value. Optimal solution: x = Optimal objective value: y =
Y
X
Transcribed Image Text:Y X
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