The Market Basket situation is an extremely complex family dynamic and proves a good test case for how succesful family businesses can run into trouble when differing factions of the family are on different pages when their parents/aunts/uncles pass on.
There are two factions of the Demoulas family - the faction behind Arthur T - the aggressive, long time and beloved (by his employees) CEO of the company - and the faction behind Arthur S., who is challenging Arthur T's management. These two factions have fought for years - mostly over accusations that Arthur T' side of the family had deprived Arthur S's side of the family of their fair share of the company's profits and ownership.
The Revere store is part of this tug of war. The store is complete. Construction is finished and the store is fully racked and signed - inside and out. In fact, some product had started arriving for stocking when the plug was pulled. Basically, Arthur S. put the store on hold when he wrestled control of the company's executive board last fall. The stated reason for doing this centered on accusations that Arthur T was entering into lease agreements with a real estate company linked to his wife's family, who wouldbuild the Revere, Waltham, and their planned stores in Plymouth and Attleboro. The issues have been resolved in Waltham and Attleboro, but still remain in Revere and Plymouth, so those stores are on hold, for now. It's not at all related to Market Basket's cash flow, insomuch as they have plenty of cash, but Arthur S. has so far refused to release the funds for the purposes of opening that store.
My read on this situation based on my own experiences and talking with others in the industry is that Arthur S.'s side of the family would like to "cash out" of their side - or if necessary - the entire business and move on. They've really never been involved in the day-to-day operations of the company and as far as I can tell, aren't really interested in running a grocery store. However, Arthur T's side is very happy to keep running the business. The problem is they would have to take on massive debt in order to buy the other side of the family out and Market Basket has a strict business model that is based on having little or no debt.
The whole thing is a mess and nobody really knows how it will end. It's amazing/sad to see a company completely trounce their competition purely on the basis of sound business practices and good customer service - only to see their gains jeopardized by family members who can't get along. However, it's something that is all too common in second and third generation family businesses.