Solution-Show that the set s is convex

Show that the set s is convex

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Reference no: EM13858182

X₁ + 3x₂ + 2x₃ + x₄ = 10

x₂+ x₃ + 2x₄ ≤ 8

3x₁ + x₂ + 2x₃ ≥ 6

x₁, X₂, X₃, X₄ ≥ 0, integer.

1. Show that the set S = {x ∈ Rⁿ : a^Tx = b} is convex.

2. Show that the set S = {x E Rⁿ : aTx > b} is convex.

3. Let s₁, s₂ be convex sets. Show that S = S₁ ∩ s₂ is also convex.

4. Consider the functions f₁(x) = 10 - x and f₂ = 1/3x + 2, and let

g(x) = max{f₁(x)f₂(x)}.

Reference no: EM13858182

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Show that the set s is convex

Reference no: EM13858182

Reference no: EM13858182

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