Given the model below, c₂, a₁₂, and a₂₂ have to be determined based on three different scenarios with the same probability of occurrence. Use stochastic programming to formulate the appropriate model and use SAS to find the optimal solution. The scenarios are:

Scenario 1: c₂ = 4, a₁₂ = 2, and a₂₂ = 3

Scenario 1: c₂ = 6, a₁₂ = 3, and a₂₂ = 4

Scenario 1: c₂ = 3, a₁₂ = 2, and a₂₂ = 1

Minimize   Z = 5x₁ + c₂x₂,

subject to

                        3x₁ + a₁₂x₂  ≥ 60

                        2x₁ + a₂₂x₂  ≥ 60

and

                        x₁ ≥ 0,    x₂ ≥ 0.