Sentence 1: The supervisor should promptly resolve such discrepancies.

Sentence 2: The supervisor is empowered to solve the problems.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: In fact, if there's one thing that is unequivocally true about M&A activity, it's that companies dramatically underestimate how much it will cost and how long it will take to make two companies--with their attendant managerial hierarchies, corporate cultures, and computer systems--into one.

Sentence 2: Companies think it will cost half as much as it really does.
Is this second sentence entailed by the first?

Answer: it is not possible to tell

Sentence 1: Good luck to you both!" Drew found himself laughing as he followed Hamilcar to the rear of the building.

Sentence 2: Drew laughed as he walked behind Hailcar.
Is this second sentence entailed by the first?

Answer:
yes