Rite-Solutions, of Middletown, said yesterday that along with its subcontractors, Science Applications International Corp. and Systems Resource Management Inc., it has been awarded a contract by the Naval Undersea Warfare Center Division Newport to provide information-technology support. The contract has a value of $35 million if all options are exercised. The companies will provide varied services, from help-desk support to technology updates for legacy systems, Web development, computer operations for classified and unclassified infrastructures and technology improvements for laboratory training initiatives.