TOEIC® listening part 1, set 27, excercise 1

[Ly1]

I don't understand the word "company" in answer A:
A.The couple look as if they are enjoying each other's company.
( http://www.english-test.net/toeic/listening/a_relaxing_drink.html )
(Does it mean the couple are happy because they are together?)
Please explain! Thank you very much!

[Our Tort System]

The state of friendly companionship; fellowship
Courtesy of http://www.thefreedictionary.com/company
_________________
If it's not easy, don't do it!
That's how I got where I am.

[Ly1]

Oh! I see! Thank you!