A city wants to set aside enough money to build, operate, and renovate a sewage treatment plant in perpetuity. An engineering company estimates that the plant will cost an immediate $20 million to...

A city wants to set aside enough money to build, operate, and renovate a sewage treatment plant in perpetuity. An engineering company estimates that the plant will cost an immediate $20 million to build and will require $5 million every 20 years to replace major equipment and $10 million every 50 years to pay for the major structural renovation. It is estimated that operation and maintenance costs will be $1.5 million every year. What amount will the city need to set aside? Interest earned on the annuity is 7%.