Question: Consider the following all-integer linear program. Max 1 x 1 + 1 x 2 s.t. 5 x 1 + 6 x 2 41 1 x

Consider the following all-integer linear program.

Max	1x₁	+	1x₂
s.t.
	5x₁	+	6x₂	41
	1x₁	+	7x₂	21
	2x₁	+	1x₂	15
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.

(c)

Find the optimal integer solution. Consider the following all-integer linear

Consider the following all-integer linear program. Max 1x + 1x2 s.t. 5x1 + 6x2 41 1x1 + 7X2 21 2x1 + 1x2 = 15 X1, X2 = 0 and integer (a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 X2 8 8 8F 8 6 6 6 4 4. 4 4 2 2 X1 2 4 6 8 X1 X1 2 6 8 2 4 6 8 2 4 6 8 (b) Solve the LP Relaxation of this problem. 8.55 at (x1, x2) = 5.31.3.24 ) X x (c) Find the optimal integer solution. 9 at (x1, x2) = 8.1 ) X X Need Help? Read It

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