Let y be a variable that takes 0 or 1 value. Write an inequality to describe if y = 0, then x can take value from 0 to 5 and if y = 1, then x can take value 0. We are given 3 options. We are allowed to choose more than 1 option and each action can only be chosen at most once. Option 1 costs 100, option 2 costs 200, option 3 costs 300. Let x; takes value 1 when action i is chosen and 0 otherwise. Write an inequality to describe we cannot exceed a budget of 400.