Consider the following all-integer linear program. 1x₁ + 1x₂ Max s.t. x1, x2 X₁, X₂ 5x₁ + 6x₂ ≤ 31 1x₁ + 5x₂ ≤ 15 2x₁ + 1x₂ ≤ 11 1 ≥ 0 and integer

Practical Management Science
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Consider the following all-integer linear program.
1x₁ + 1x₂
Max
s.t.
5x₁ + 6x₂ ≤ 31
1x₁ + 5×₂ ≤ 15
2x₁ + 1x₂ ≤ 11
1
X₁, X₂ ≥ 0 and integer
Transcribed Image Text:Consider the following all-integer linear program. 1x₁ + 1x₂ Max s.t. 5x₁ + 6x₂ ≤ 31 1x₁ + 5×₂ ≤ 15 2x₁ + 1x₂ ≤ 11 1 X₁, X₂ ≥ 0 and integer
(b) Solve the LP Relaxation of this problem.
at (x₁, x₂) = (
(c) Find the optimal integer solution.
> = ( x ₁₂
x₁ = 2.27, x₂ = 1.09
x2
:
X1
at (x₁, x₂) =
!
I▬
Transcribed Image Text:(b) Solve the LP Relaxation of this problem. at (x₁, x₂) = ( (c) Find the optimal integer solution. > = ( x ₁₂ x₁ = 2.27, x₂ = 1.09 x2 : X1 at (x₁, x₂) = ! I▬
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