The projected year-end assets in a collection of trust funds, in trillions of dollars, where t represents the number ofyears since 2000, can be approximated by the following function where Ost?50.A(t) = 0.000028413 -0.006101² +0.0613t+4.17a. Where is A(t) increasing?b. Where is A(t) decreasing?a. Identify the open intervals for 0 st? 50 where A(t) is increasing. Select the correct choice below and, if necessary, filin the answer box to complete your choice.A. The function is increasing on the interval(s).(Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separateanswers as needed.)B. There are no intervals where the function is increasing.