Consider the following linear. Program Maximize Z= 6x₁+x₂+2x3 Subject to: 304₁+3x₂+2x3 ≤ 9 X4₁+2x₂ + x3 =4 X₁, X2, X 3 ZO Show that x₁=3₁x₂=0,₁ X3 = 0² is the solution optimal for this linear program.