Show me the steps to solve To decrease the costs of operating a lock in a large river, a new system of operation

is proposed. The system will cost $$650,000$ to design and build. It is estimated

that it will have to be reworked every $10$ years at a cost of $$100,000.$ In

addition, an expenditure of $$50,000$ will have to be made at the end of the fifth

year for a new type of gear that will not be available until then. Annual operating

costs are expected to be $$30,000$ for the first $15$ years and $$35,000$ a year thereafter.

Compute the capitalized cost of perpetual service at i$=8\%.$write all steps n show