There is a situation where a hotel incurs a cost of INR$500$ for booking of a room. Hotel has a tie up with many nearby hotels to offer bookings to any number of travellers.

Demand of hotel rooms can be explained using demand graph d$($p$)=10000-8$p$.$ Now,

there is some renovation work is going in nearby hotels and they are unable to accommodate my guests. I can only use my hotel capacity of $500$ rooms. What should be new price to get maximum profit in this new scenario with existing demand pattern?

What will be profits in two situations?