That does not have any GLOBAL optimal solution but it does have at least one LOCAL optimal solution; (b). whose set of local optimal solutions coincides with that of the global optimal solutions. 2 Part III (5 points) (a). Suppose that the value of a linear function at [2, 1, 1]T is 4. Which is the value of the same function at [4, 2, 2]T (note that [4, 2, 2]T = 2 · [2, 1, 1]T )? Which property of the function did you use to answer? (b). Suppose that the values of a linear function at [2, 1, −1]T and [2, 0, 1]T are 4 and 7, respectively. Which is the value of the same function at [4, 1, 0]T = [2, 1, −1]T + [2, 0, 1]T ? Which property of the function did you use to answer?