2. Define a function f(X) = c. X = C₁x₁ + C₂x₂ + C = (C1, C2, ..., Cn) E R is constant. (x1,x2,...,xn) ER", where (a) Show that for any P and Q in R” and t € R, 0 ≤ t ≤ 1, f(tP + (1 − t)Q) = tf(P) + (1 − t)f(Q). Note that tf (P) + (1 – t)f(Q) is a real number between f(P) and f(Q). (b) What does this suggest about the optimal value of f on a convex set S in R? ...Cnn for X =

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