APFIVE Geometric Series Model For Wood Yield
Assuming the yield continues to decrease at the same rate as indicated in the table, calculate the total wood yield over 20 years using the formula for a finite geometric series. Express your answer in cubic meters.
Sustainable Logging Yield Table:
| Year | Wood Yield (cubic meters) |
|---|---|
| 1 | 2000 |
| 2 | 1900 |
| 3 | 1805 |
| 4 | 1714.75 |
| 5 | 1629.01 |
Assume the yield decreases by a constant factor each year.
A
Approximately $$27,000$$ cubic meters, if wrongly assuming a faster decline rate.
B
Approximately $$24,000$$ cubic meters, which would be the result of a linear decline model.
C
Approximately $$20,000$$ cubic meters, if the decline rate only applied in the first year.
D
Approximately $$25,660$$ cubic meters, computed by $$2000 \times \frac{1-0.95^{20}}{1-0.95}$$.
Question Leaderboard
Not enough data yet to show leaderboard.