Question
Gina owns a mining company that mines metalium, which is a rare mineral used in the production of plastic. In order to assess the profitability
Gina owns a mining company that mines metalium, which is a rare mineral used in the production of plastic. In order to assess the profitability of the mining operation, Gina has compiled some data relating to the cost of mining and processing metalium as well as its market price between 2000 and 2015. She has also recorded the CPI over the same period. The cost is measured in $ per tonne and the price is also measured in $ per tonne. This information is contained in the following table:
Time period | CPI | Cost | Price |
2000 | 100 | 15 | 30 |
2015 | 160 | 26 | 46 |
A) Using the CPI to adjust for inflation, what is the real cost and price of metalium in 2015 (expressed in year 2000 dollars)?
Real cost is $ per tonne
Real price is $ per tonne
Using a geometric sequence, calculate the annual growth rate in the real cost of mining metalium and its real market price. Note that a geometric sequence has the following form:
xt = x0 (1 + r)t
where:
xt = value of x at period t
x0 = value of x at period 0
r = growth rate
t = number of periods
B) The annual growth rate in:
Real cost is percent
Real prices is percent
C) What is the ratio of real prices to real costs in 2000 and 2015:
In 2000, real prices are times as much as real costs
In 2015, real prices are times as much as real costs
D) Has metalium mining become more or less profitable over time?
(Type 'more' or 'less')
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