Multiple Optimal Solutions 3D LP

A 3D LP demonstrating the geometry of multiple optimal solutions.

maxs.t. (0)zx​4​x​5​x​6​x​7​ = 0 + 1x​1​ + 1x​2​ + 1x​3​= 2 + 0x​1​ - 1x​2​ + 0x​3​= 3 - 1x​1​ + 0x​2​ - 1x​3​= 2 - 1x​1​ + 0x​2​ + 0x​3​= 4 + 0x​1​ - 1x​2​ - 1x​3​
Constraint(s)(4) 0x​1​ + 1x​2​ + 0x​3​ ≤ 2(5) 1x​1​ + 0x​2​ + 1x​3​ ≤ 3(6) 1x​1​ + 0x​2​ + 0x​3​ ≤ 2(7) 0x​1​ + 1x​2​ + 1x​3​ ≤ 4Objective Value: 0.00.01.523.034.555.697.28.72Iteration: 00123