The thermal plot of a gaming system during play time is defined by 10ln(15t^3) − 2T + 100 = T + 10t for 0 < t ≤ 5, where t represents time in hours and T represents temperature in °C. For which condition does the system reach a possible maximum or minimum temperature?

30 − 10t = 0
450t^2 − 10 = 0
6 − 90t^3 = 0
15t^2 − 10 = 0