Answers to word problem

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• Subject: Answers to word problem
• From: David South <dsouth@FORESTRY.AUBURN.EDU>
• Date: Fri, 8 Mar 1996 10:12:40 -0600
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ANSWERS TO PROBLEM FROM SOUTH's COLLECTION

(1 and 2) 15-year-old wood is worth $4,400 more to the landowner (about 5.4%
more).

Weight/cubic meter  = (1+Moisture content/100)(specific gravity)(1,000 kg)

15-year-old wood = (1+ 150/100)(0.43)(1,000) = 1,075 kg/cubic meter
40-year-old wood =(1+ 100/100)(0.51)(1,000) = 1,020 kg/cubic meter

$ 86,000 =(1,075)(80)
$ 81,600 =(1,020)(80)
___________________
$  4,400 = difference



(3 and 4) 40-year-old wood is worth 23% more to the mill.

15-year-old pulp = (0.43)(1,000)(0.48)(1,000)  = 206,400 kg of pulp
40-year-old wood =(0.51)(1,000)(0.50)(1,000) = 255,000 kg of pulp

0.23 = (255,000/206,400)-1


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And the winner is Ted Bilek, Forestry Economics                     |
                             University of Canterbury, School of Forestry


Ted even went a bit further.  He indicated that since the mill payed less
for the 40-year-old wood, the difference in kg/cost of pulp for the two wood
ages is 30%.

[2.4 kg of pulp/$ for 15-year-old wood    vs.   3.125 kg of pulp/$ for
40-year-old wood]

================================================


David South
School of Forestry
Auburn University, AL  36849-5418
USA

dsouth@forestry.auburn.edu

334-844-1022
334-844-1084 (FAX)

http://www.forestry.auburn.edu/coops/sfnmc/sfnmc.html

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The world population is expected to double by the year 2100.
Therefore the annual demand for wood for energy (etc.)
will increase and might double (to more than 7 billion m3/yr).
To provide plantation wood for people in the future,
support the planting of trees on pastureland.
Set a goal of converting 8 million ha of pastureland/yr for the next 55 years.
This would increase tree plantations to about 5% of the world's landbase.
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