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

Given points P 0 = [-] P = [2]. 1 1 , and p3 in R²,let let S D 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) = 2x₁+ x₂

P 0 = [-] P = [2]. 1 1 , and p3 = 1 [2]

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