A linear program is given by Maximize z = 60x1 + 60x2 + 36x3 Subject to 12x1 + 12x2 + 0x3 ≤ 72 30x1 + 18x2 + 18x3 ≤ 180 18x1 + 30x2 + 18x3 ≤ 180 x1 ≥ 0, x2 ≥ 0, x3 ≥ 0 For this linear program the maximum value of the objective function is z max? I

A linear program is given by
Maximize z = 60x1 + 60x2 + 36x3
Subject to
12x1 + 12x2 + 0x3 ≤ 72
30x1 + 18x2 + 18x3 ≤ 180
18x1 + 30x2 + 18x3 ≤ 180
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0
For this linear program the maximum value of the objective function is
z max= ?
and it achieves this value at the point
(x1, x2, x3) =