Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. f(x) = - 3x2 - 30x - 25 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is increasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function is never increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The function is decreasing on (Type your answer in interval notation. Type integers or simplified fractions. Use a comma to separate answers as needed.) O B. The function is never decreasing. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type integers or simplified fractions.) O A. The function has a local minimum f () = , and no local maximum. O B. The function has a local maximum f() = and a local minimum f() =. O C. The function has a local maximum f () = , and no local minimum. O D. The function has no local extrema.A manufacturer incurs the following costs in producing x water ski vests in one day, for 0