Problem $6.(1$ point$)$

$($Once you have their money, never give it back.$)$ An apartment complex on Ferenginar with $410$ units is currently fully occupied. The current rent for a unit is $808$ slips of gold$-$pressed latinum. The owner of the complex knows from experience that he loses one occupant every time he raises the rent by $2$ slips of latinum. Since "profit is its own reward", the owner wants to maximize his profit so he asks for our help, even though he knows that "free advice is seldom cheap".

What should be our recommendation for the optimal rent?

Answer: $,$ slips of gold$-$pressed latinum.

What is the largest revenue that the owner can earn?

Answer: slips of gold$-$pressed latinum.