My best guess is that 73 cartons are needed. Here's how:
876/12 ( because the jugs are shipped in cartons containing 12) = 73
This is just a guess, I'm sorry if someone proves me wrong, but this is what I have.
The Lagrangian,
has critical points where its partial derivatives vanish:
tells us 
, so that
Then with 
, we get
and 
tells us
Then there are two critical points, 
. The critical point with the negative 
-coordinates gives the maximum value, 
.
The answer to this question is the school is going to have to rent 2 vans extra. The reason is because each van hols 8 people right. for the 6 vans that the school already owns, that will be 48 students in vans. When you subract that from 59, you get 11 students that still need a van, so 11 students can not fit in one extra van so the school would need two. Hope this gives you what you were looking for. God bless, and hope this helped. Also, please let me know if it was correct.
Answer: D. No automatic fees charged to the account.
If I had the chance to teach a foreigner regarding checking and savings account at the banks in the United States, I would remind him/her of this important note. There are no automatic fees charged to the account therefore, consumers cannot protect their rights.
