Question $2(5$ points$)$

The following table shows the marginal private benefits and marginal private cost of providing daycare spaces in the province:

$\backslash$table$[[\backslash$table$[[$Number of$],[$Daycare Spaces$]],\backslash$table$[[$Marginal Private$],[$Benefits $($$$)]],\backslash$table$[[$Marginal Private$],[$Costs $($$$)]]],[3000,600,300],[5000,550,400],[7000,500,500],[8000,450,600],[9000,400,700]]$

Refer to the above information to answer this question. In an effort to increase the number of daycare spaces, suppose the authorities give parents a subsidy of $$150$ for each child registered. What will be the new equilibrium quantity?