A forestry company has four sites on which they grow trees. They are considering four species of trees, the pines, spruces, walnuts, and other hardwoods. Data on the problem are given below. How much area should the company devote to the growing of various species in the various sites? Site Number Area Available at Site (ka) Pine Spruce Walnut Hardwood Pine Spruce Walnut Hardwood
1 1500 17 14 10 9 16 12 20 18
2 1700 15 16 12 11 14 13 24 20
3 900 13 12 14 8 17 10 28 20
4 600 10 11 8 6 12 11 18 17
Minimal required
expected annual yield (km3) 22.5 9 4.8 3.5