Consider the following all integer linear program Max 1 x 1 1 x 2 s t 5 x 1 7 x 2 32 1 x 1 6 x 2 18 2 x 1 1 x 2 11 x 1 , x 2 0 and integer (a) Graph the constraints for this problem Use dots to indicate all feasible integer solutions (b) Solve the LP Relaxation of this problem at (x 1 , x 2 ) (c) Find the optimal integer solution at (x 1 , x 2 ) Consider the following all Integer linear program Max 1x1x2 S 5x 7x, 82 1x, lix, 18 2x 1x2 $ 11 X, X, 20 and Integer (a) Graph the currstraints for this problein Use dels lo indicele all feasible inleger solutions 8 X1 X1 6 6 Da (b) solve the LP Relaxation of this problem at ix x2) ( D (c) Find the optimal Integer olikin at (x,x) (

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Question: Consider the following all-integer linear program. Max 1 x 1 + 1 x 2 s.t. 5 x 1 + 7 x 2 32 1 x

Consider the following all-integer linear

Consider the following all-integer linear program.

Max	1x₁	+	1x₂
s.t.
	5x₁	+	7x₂	32
	1x₁	+	6x₂	18
	2x₁	+	1x₂	11
x₁, x₂ 0 and integer

(a)

Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.

(b)

Solve the LP Relaxation of this problem.

at (x₁, x₂) =

(c)

Find the optimal integer solution.

at (x₁, x₂) =

Consider the following all-Integer linear program. Max 1x1x2 S. 5x + 7x, 82 1x, + lix, 18 2x + 1x2 $ 11 X, X, 20 and Integer (a) Graph the currstraints for this problein. Use dels lo indicele all feasible inleger solutions. 8 X1 X1 6 6 Da (b) solve the LP Relaxation of this problem. | at ix-x2)-( D (c) Find the optimal Integer olikin at (x,x)-(

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