Company A is one of three businesses $($A$,$ B$,$ and C$)$ competing for a ship maintenance contract. The ship owners are willing to pay up to $$500,000$ per year for these maintenance services. Company A$$s cost to provide those services is $$400,000$ per year. Company B and Company C$$s costs to provide identical services are $$430,000$ and $$440,000$ per year, respectively. What is company A$$s added value per year?