Using dimensional analysis to solve problem
by setting up problems so that units cancel, dimensional analysis can be used to mathematically some
problems.
the owner of a tree farm decides to harvest a stand of mature white pine trees. each white pine
yields approximately 62 board feet, the amount of lumber that can be milled from a 10-foot log that
is 14 inches in diameter. the density of white pines is 120 trees per acre. the wholesale price-per-
board-foot is $1.85.
a. what is the value per acre of white pines?
b. if the owner decides to harvest 18 acres of white pines, how much money will he make?
c. the owner must hire a timber company to cut down the trees. the timber company charges
30% of the wholesale value of the trees to perform this service. how much does the owner
make after paying the timber company? (round to the nearest dollar.) *also show work and setup for problem! *