Purchased a car three years ago for $$45,000.$ As per company policy, they are planningto keep this vehicle for five more years before replacing it$.$ But the car will be needing some major repairs in the near future, so they are considering whether to keep this current vehicle or buy a newone. The dealer has told them that the market price of their current car today is $$30,000,$ and it will continue to depreciate at a rate of $15\%$ per year. The car maintenance costs will be $$1,750$ per yearin the coming year, and they are going to increase each year by $$800/$y$.$