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An all news radio station has made a survey of the listening habits of local residents between the housrs of 5:00pm and and midnight. The survey indicates that the percentage of the loacl adult population that is tuned in to the station x hours after 5:00pm is
F(x)=1/8(-2x^3+27x^2-108x+240)

a) at what time between 5pm and midnight are the most people listening to the station? what percentage of the population is listening at this time?

b) at what time between 5pm and midnight are the fewest people listening to the station? what percentage of the population is listening at that time?

 

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