Given the model below, write out the cj-vector, the bi-vector, and the aij matrix. Use SAS to solve the problem and write out the optimal solution in vector form. Attach all the SAS output below.

Maximize Z = 2x₁ + 4x₂ + 3x₃,

subject to

3x₁ + 4x₂ + 2x₃ 60

2x₁ + x₂ + 2x₃ 40

x₁ + 3x₂ + 2x₃ 80

and

x₁ 0, x₂ 0, x₃ 0.