Model 13: Forestry Problem

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?

		Expected Annual Yield from Species $(km$ ³/ka)				Expected Annual Revenue from Species (money units per ka)
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 $(km$ ³)		22.5	9	4.8	3.5