Problem 3 1. Consider the problem minimize Z = $1 subject to rite, = 4 1 graph the feasible set. Use the graph to find all local minimizers for the problem, and determine which ones are also global minimizers. 2. Let f(x) = =cat -C2 -21.12 - 12 Determine all the points that satisfy the first order optimality conditions, and use second order information to decide whethere these points maxima or minima. 3. Consider the problem maximize Z=1+ 202 subject to 1 + 12 8 -I1 + 12 $ 2 I1 - $2 A 2 2 0 and integer = 0, 1, 4, or 6 Reformulate the problem as an equivalent integer