Answer
A) $(iii)< i<(ii)$
Work Step by Step
A) We calculate $R'(t)$:
$R'(t)=24.48(1.4)^t\ln 1.4$
Because $R'(t)$ is increasing, it follows that the average rate of change over a later year is larger than over an earlier year. Therefore, in increasing order:
2010→2011<2011→2012<2013→2014.
$(iii)< i<(ii)$.
B) If after 2014 the revenue keeps increasing but the yearly increases get smaller (slopes are positive but decreasing), that means the slope $R'(t)$ is positive and decreasing — equivalently the graph is increasing and concave down on that interval (second derivative
$R''(t)<0$.
