$2.$ A city infrastructure project requires an initial investment of $$4,000,000,$ with an annual operating cost of $$250,000$ and a lifespan of $25$ years. Every $5$ years, it also requires specialized equipment costing $$150,000$ with zero salvage value. The project is expected to generate annual benefits of $$1,000,000.$ If the interest rate is $6\%$ per year, is this project justified? $(25$ pts$)$