Dodecahedron 3D LP

A 3D LP with feasible region in the shape of a regular dodecahedron.

maxs.t. (0)zx​1​x​2​x​3​x​4​x​6​x​7​x​8​x​9​x​10​x​11​x​12​x​13​ = 5.118 - 0.618x​5​ + 0x​14​ + 1x​15​= 2 + 0x​5​ - 0.5x​14​ + 0.5x​15​= 0.545 + 0x​5​ + 0.309x​14​ + 0.309x​15​= 2.573 - 0.618x​5​ + 0.191x​14​ + 0.191x​15​= 2.91 + 1x​5​ - 0.618x​14​ - 0.618x​15​= 1.809 + 0.618x​5​ + 0.618x​14​ - 1x​15​= 2.955 - 0.618x​5​ + 1x​14​ - 0.618x​15​= 4.736 - 0x​5​ - 0x​14​ - 1x​15​= 4.736 + 0x​5​ - 1x​14​ + 0x​15​= 4.736 - 1x​5​ + 0x​14​ + 0x​15​= 1.826 - 1x​5​ + 0.618x​14​ + 0.618x​15​= 2.927 - 0.618x​5​ - 0.618x​14​ + 1x​15​= 1.781 + 0.618x​5​ - 1x​14​ + 0.618x​15​
Constraint(s)(4) 0x​1​ + 1x​2​ + 1.618x​3​ ≤ 7.618(5) 0x​1​ - 1x​2​ + 1.618x​3​ ≤ 3.618(6) 1.618x​1​ + 0x​2​ + 1x​3​ ≤ 7.618(7) 1.618x​1​ + 0x​2​ - 1x​3​ ≤ 3.618(8) 1x​1​ + 1.618x​2​ + 0x​3​ ≤ 7.618(9) -1x​1​ + 1.618x​2​ + 0x​3​ ≤ 3.618(10) 0x​1​ + 1x​2​ - 1.618x​3​ ≤ 1.118(11) 0x​1​ - 1x​2​ - 1.618x​3​ ≤ -2.882(12) -1.618x​1​ + 0x​2​ - 1x​3​ ≤ -2.882(13) -1.618x​1​ + 0x​2​ + 1x​3​ ≤ 1.118(14) 1x​1​ - 1.618x​2​ + 0x​3​ ≤ 1.118(15) -1x​1​ - 1.618x​2​ + 0x​3​ ≤ -2.882Objective Value: 3.950.02.264.516.778.72910.7212.98Iteration: 00123