7. The table below provides information about the growth of a pine forest in Georgia. The price of the harvested timber is $40 per cubic foot and the forest only provides timber benefits. Current annual increment Age (years) Volume (cubic feet) Mean annual increment 81.4 814 1,992 3,438 5,056 6,750 8,424 81.4 117.8 144.6 10 20 30 99.6 114.6 40 126.4 135 161.8 50 169.4 167.4 60 70 140.4 142.6 9,982 11.328 155.8 80 141.6 137.4 134.6 90 12,366 13,000 13,134 12,672 103.8 100 130 119.4 63.4 110 13.4 120 105.6 -46.2 (A) When should the forest be harvested if the objective is to maximize the average annual timber volume growth fl.e. biological rotation)? (B)What are two problems with using this rotation age to manage forest lands? C) Will this rotation age be longer or shorter than the rotation age thatmakimizes the present value of the total timber income over multiple rotations? Why?

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7. The table below provides information about the growth of a pine forest in Georgia. The price of
the harvested timber is $40 per cubic foot and the forest only provides timber benefits.
Age (years)
Current annual
increment
Volume (cubic feet)
Mean annual increment
10
814
1,992
81.4
81.4
20
99.6
117.8
144.6
3,438
5,056
6,750
30
114.6
40
126.4
161.8
50
135
140.4
169.4
167.4
60
70
8,424
9,982
11.328
12,366
142.6
141.6
155.8
134.6
80
90
100
137.4
103.8
13,000
130
119.4
105.6
63.4
110
13,134
13.4
120
12.672
-46.2
(A) When should the forest be harvested if the objective is to maximize the average annual timber
volume growth (l,e., biological rotation)?
(B) What are two problems with using this rotation age to manage forest lands?
CI Will this rotation age be longer or shorter than the rotation age that makimizes the present value
of the total timber income over multiple rotations? Why?
Transcribed Image Text:7. The table below provides information about the growth of a pine forest in Georgia. The price of the harvested timber is $40 per cubic foot and the forest only provides timber benefits. Age (years) Current annual increment Volume (cubic feet) Mean annual increment 10 814 1,992 81.4 81.4 20 99.6 117.8 144.6 3,438 5,056 6,750 30 114.6 40 126.4 161.8 50 135 140.4 169.4 167.4 60 70 8,424 9,982 11.328 12,366 142.6 141.6 155.8 134.6 80 90 100 137.4 103.8 13,000 130 119.4 105.6 63.4 110 13,134 13.4 120 12.672 -46.2 (A) When should the forest be harvested if the objective is to maximize the average annual timber volume growth (l,e., biological rotation)? (B) What are two problems with using this rotation age to manage forest lands? CI Will this rotation age be longer or shorter than the rotation age that makimizes the present value of the total timber income over multiple rotations? Why?
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