A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is
R=f(t)=260 ln t with 1" style="box-sizing: border-box; margin: 0px; padding: 0px; border: 0px; font-style: inherit; font-variant: inherit; font-weight: inherit; font-stretch: inherit; line-height: inherit; font-family: inherit; font-size: 14px; vertical-align: baseline;">t>1.
Find f(2), f?′??(2), and the relative rate of change ?f??f?′???? at t=2.
f(2)=?
f?′??(2)=?
?f??f?′???? = ?
Interpret your answers in terms of revenue. Round the last answer to one decimal place. (Choose from available answers in parentheses.)
Two weeks after the DVD was released,
the revenue from sales is $____?_____.
and is (increasing/decreasing)
at a rate of $___?____ per week,
or ___?____% per week.