Solve the linear programming problem by the simplex method. Maximize 60x +45y subject to the following constraints. X + y≤ 3 -2x + 3y 23 x20, y20
Solve the linear programming problem by the simplex method. Maximize 60x +45y subject to the following constraints. X + y≤ 3 -2x + 3y 23 x20, y20
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 60x +45y subject to the following constraints.
y≤ 3
3y 23
y20
X +
-2x +
x20,
Put the second constraint into ≤ form.
y≤ 3
ys
X +
x20,
y 20
Construct the corresponding linear system.
y+ u
3
x +
X+
Oy
x+y
+ V
The maximum value of M is
+ M=
0
which is attained for x =
and y=
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