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Use parametric linear programming to find the optimal solution for

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.

Maximize Z (θ) = (20 + 4θ)x1 + (30 - 3θ) x2 + 5x3,

Subject to

and

x1 ≥ 0, x2 ≥ 0, x3 ≥ 0.

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