Mathematics Probability

 A local law firm has hired G&B consulting to help determine a business strategy. There is a competing firm in the area and recently the two firms have begun talks in regards to a merger. The merger would mean there are more shared resources than either had before individually. There would also be less competition for both companies. Both would be able to operate more efficiently, however it would take a strong commitment from both sides for the merger to be successful. The law firm that has hired you wants to know their optimum strategy in this situation.