The rent control agency of New York City has found that aggregate demand is

$Q_D=160-8P.$

Quantity is measured in tens of thousands of apartments. Price, the monthly average rental rate, is measured in hundreds of dollars. The agency also noted that the increase in $Q$ at lower $P$ results from more three$-$person families coming into the city from Long Island and demanding apartments. The city's board of realtors acknowledges that this is a good demand estimate and has shown that supply is

$Q_S=70+7P$

If both the agency and the board are right about demand and supply, what is the free$-$market price?

The free$-$market price is $$600.($Enter your response as an integer.$)$

What is the change in city population if the agency sets a maximum average monthly rent of $$250,$ and all those who cannot find an apartment leave the city? Assume that on average three people live $($or would have lived$)$ in each apartment.

The city's population will decrease by people. $($Enter your response as an integer.$)$