Homework: OLHW#11: 12.5, 12.6
Bus Econ 12.6.41
The pressure of the oil in a reservoir tends to drop with time. By taking sample pressure readings for a particular oil reservoir, petroleum engineers have found that the change in pressure is given by the function P(t) = t^3 - 17t^2 + 82t, (0 <= t <= 15), where t is the time in years from the date of the first reading. Use a graphing calculator or computer to find the approximate location of all local extrema and points of inflection of the given revenue function.
Select the correct choice below, and if necessary, fill in any answer boxes within your choice.
A. There is one local maximum. It occurs at x = .
(Round to one decimal place as needed.)
B. There are multiple local maxima. They occur at x = .
(Round to one decimal place as needed. Use a comma to separate answers as needed.)
C. There are no local maxima.