Problem 5. Consider a facility location problem with binary variables y1, ya, ya, y4 and ys corresponding to the decisions to open warehouse at locations 1, 2, 3, 4 and 5 respectively. a) At most one of locations 1 and 2 can be opened. b) Location 3 can only be opened if location 1 is opened. c) Location 4 cannot be opened if locations 2 or 3 are opened. d) If location 1 is open, either locations 2 or 5 opened