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