Question: Solve the following linear programming model by using the computer:

Maximize Z = 5x₁ + 8x₂

Subject to

3x₁ + 5x₂ \(\le \) 50

2x₁ + 4x₂ \(\le \) 40

x₁ \(\le \) 8

x₂ \(\le \) 10

x₁, x₂ \(\ge \) 0