Bill has 120 pecan trees that yielded 45 pounds of pecans per tree. Three-fourths of the pecans are sold as shelled nuts. A storm damaged four trees, which he cut into logs. He had four logs 12 feet long with a 32-inch diameter at the small end and three logs 8 feet long with a 22-inch diameter at the small end. He used the Doyle log rule to find the approximate number of board feet of usable lumber in the logs.
Doyle log rule formula: 
Where: BF is the approximate board feet of usable lumber in a log.
d is the diameter of the small end of the log, in.
l is the length of the log, ft.
a. How many pounds of pecans were harvested? (Note: The trees that were damaged did not have pecans.)
b. How many pounds of pecans were sold as shelled pecans?
c. How many board feet of usable lumber were in the logs?
a. 5,220 lb
b. 3,915 lb
c. 2,838 bf
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