K Solve the linear programming problem by the simplex method. Maximize 20x + 15y subject to the following constraints. X + y≤ 6 - 2x + 3y 15 x20, y20 Put the second constraint into ≤ form. X + ys 6 2x + (-3) y ≤ -15 y20 x20, Construct the corresponding linear system. y+ u X + 2x+ (-3)y - 20 x + (-15) y + V The maximum value of M is + = 6 = - 15 M= 0 which is attained for x = 5 and y= ☐
K Solve the linear programming problem by the simplex method. Maximize 20x + 15y subject to the following constraints. X + y≤ 6 - 2x + 3y 15 x20, y20 Put the second constraint into ≤ form. X + ys 6 2x + (-3) y ≤ -15 y20 x20, Construct the corresponding linear system. y+ u X + 2x+ (-3)y - 20 x + (-15) y + V The maximum value of M is + = 6 = - 15 M= 0 which is attained for x = 5 and y= ☐
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question

Transcribed Image Text:K
Solve the linear programming problem by the simplex method.
Maximize 20x + 15y subject to the following constraints.
X + y ≤ 6
- 2x + 3y ≥ 15
x ≥ 0,
y20
Put the second constraint into form.
X +
y ≤
6
2x + (-3) y ≤ - 15
x ≥0,
y20
Construct the corresponding linear system.
y + u
X +
2x+ (-3)y
- 20 x + (-15) y
+ V
The maximum value of M is
+
6
= - 15
0
=
M =
which is attained for x = 5 and y =
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