OIM airline provides $120$ seats on its flight. Customers looking for discounts can purchase tickets at $$260$ per seat. The tickets purchased closer to the flight date are charged $$360$ per seat, targeting high$-$fare customers. The quantity of high$-$fare customers is estimated to be uniformly distributed between $10$ and $28.$ How many seats should be reserved for these high$-$fare paying customers $($round the result to the closest integer if you find a fractional value$)?$