Please provide a step by step solution so that I can teach myself how to solve problem.

MICRO A2.12 (SEPT. 17th) Suppose that f(x)isaconcave function and M is the set of all points in R that give globalmaxima of f. Prove that M is a convex set. MICRO A2.12 (SEPT. 17th) A2.12 uppose that f(x) is a concave function and M is the set of all points in R" that give global maxima off. Prove that M is a convex set. Tin MICRO A2.12 (SEPT. 17th) Suppose that f(x)isaconcave function and M is the set of all points in R that give globalmaxima of f. Prove that M is a convex set. MICRO A2.12 (SEPT. 17th) A2.12 uppose that f(x) is a concave function and M is the set of all points in R" that give global maxima off. Prove that M is a convex set. Tin