The Impact of a Matching Grant on the Town’s Budget Constraint • When Lexington is offered a
matching grant for educational spending, with $1 of grant for each $1 of local spending, the budget
constraint pivots outward from AB to AC. Lexington chooses point Y on AC, as it spends $250,000
more on education (with education spending rising from $500,000 to $750,000) and $125,000 more
on private goods.