The Central Energy Fund (CEF) monitors the price of crude oil imports and uses it as a basis for setting local fuel prices. The fuel-cost indexes of crude oil imports are given in the table below for the period 2001 to 2010.
|
|
2001
|
2002
|
2003
|
2004
|
2005
|
2006
|
2007
|
2008
|
2009
|
2010
|
|
Fuel cost index
|
100
|
116.2
|
122.4
|
132.1
|
135.7
|
140.3
|
142.8
|
146.9
|
153.4
|
160.5
|
(a) Every 10 years, the CEF resets the base five years on from the current base. Calculate the revised fuel-cost index series, with 2006 as the new base year.
(b) Calculate the link relatives and plot the annual percentage changes on a line graph.
(c) Find the average annual percentage change in the fuel cost index from 2001 to 2010. Use the geometric mean formula.
(d) Comment on the trend in price changes of crude oil imports between 2001 and 2010.