please see attached picture for question

A small research drug company, label 1, has developed a drug. It does not have the resources to get FDA approval or to market the drug, so it considers selling the rights to the drug to a big drug company. Drug companies 2 and 3 are interested in buying the rights but only if both companies are involved in order to spread the risks. Suppose that the research drug company wants$1 billion, but will take $100 million if only one of the two big drug companies are involved. The profit to a participating drug company 2 or 3 is $5 billion, which they split. Here is a possible characteristic function with units in billions: V=(1) = V(2)= v(3)= 0, v(12)= 0.1, v(13)= 0.1, v(23)= 0, v(123)= 5, because any coalition that doesn't include player 1 will be worth nothing. Is (5, 0, 0) in the core? Why? Do you like this allocation if you are the research drug company? What if you are one of the participating companies