The office manager for a law firm needs to purchase new filing cabinets. he knows that ace cabinets cost $10 each, require 6 square feet of floor space, and hold 8 cubic feet of files. on the other hand, excello cabinets cost $20 each, require 8 square feet of floor space, and hold 12 cubic feet of files. the office manager's budget permits him to spend no more than $140 on file cabinets, while the office has room for no more than 72 square feet of new cabinets. the goal is to maximize storage space (cubic feet) while keeping in budget. 10. define the variables and write the inequalities representing the constraints of the situation.