All Integer 3D LP

A 3D LP where all basic feasible solutions are integral and have integral tableaus.

maxs.t. (0)zx​4x​5x​6x​7 = 0 + 1x​1 + 2x​2 + 4x​3= 6 - 1x​1 + 0x​2 + 0x​3= 8 - 1x​1 + 0x​2 - 1x​3= 5 + 0x​1 + 0x​2 - 1x​3= 8 + 0x​1 - 1x​2 - 1x​3
Constraint(s)(4) 1x​1 + 0x​2 + 0x​3 ≤ 6(5) 1x​1 + 0x​2 + 1x​3 ≤ 8(6) 0x​1 + 0x​2 + 1x​3 ≤ 5(7) 0x​1 + 1x​2 + 1x​3 ≤ 8Objective Value: 0.00.09.118.227.334.1243.2252.32Iteration: 001234