Use parametric linear programming to find the optimal solution for the following problem as a function of , for 0 20. Maximize

Use parametric linear programming to find the optimal solution for the following problem as a function of θ, for 0 ≤ θ ≤ 20.
Maximize Z (θ) = (20 + 4θ)x1 + (30 - 3θ) x2 + 5x3,
Subject to


and
x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.