WILL MEDAL

Optimizaiton: An apartment complex on Ferenginar with 250 units currently has 170 occupants. The current rent for a unit is 510 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 1.5 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".

Question

WILL MEDAL

Optimizaiton: An apartment complex on Ferenginar with 250 units currently has 170 occupants. The current rent for a unit is 510 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 1.5 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".

amenah8 · Answer

so i need to maximize his profit. how would i make a function so that i can take the derivative?