10. Please show your work

On a particular day, the power used in a particular state (in thousands of megawatts) could be approximated by the function P(t) = - 0.005055+ + 0.1965t- - 1.074t + 18.23 where t is the number of hours since midnight, for 0 sts 24. Find any relative extrema for power usage, as well as when they occurred. Find the derivative of P(t) P'(1) =- 0151651~+ 393t -1.074 Find any relative extrema for power usage, as well as when they occurred. Select the correct choice below and, if necessary, fill in any answer boxes within your choice. O A. There are no relative minima. The relative maximum/maxima is/are at the t value(s) t = (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) O B. The relative maximum/maxima is/are at the t-value(s)= and the relative minimum/minima is/are at the t-value(s) t= (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) O C. There are no relative maxima. The relative minimum/minima is/are at the t-value(s) t= (Use a comma to separate answers as needed. Type integers or decimals rounded to the nearest hundredth as needed.) O D. There are no relative extrema