Maximize Z = 38 x 1 + 43 x 2 + 42 x 3

Subject to: 20 x 1 + 35 x 2 + 15 x 3 17920

25 x 1 + 10 x 3 7500

25 x 2 + 30 x 3 13500

x 2 x 3 0

x 1 , x 2 , x 3 0

Use software to solve the linear program and enter the optimal solution below. If there is no solution enter 'NONE' in all boxes below. Do not round answers.

x 1 =

x 2 =

x 3 =

Z =