Question: Given points in R 2 , let S = conv {p 1 ; p 2 ; p 3 }. For each linear functional f, find

Given points P = [6].P = [3], and ps = [-2] P2 P3 in R², let S = conv {p₁; p₂; p₃}. For each linear functional f, find the maximum value m of f on the set S, and find all points x in S at which f (x) = m.

a. f (x₁,x₂) = x₁ – x₂

b. f (x₁, x₂) = x₁ + x₂

c. f (x₁; x₂) = 3x₁ + x₂

P = [6].P = [3], and ps = [-2] P2 P3

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