linear programming problem # 4.?
trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has 00 to spend on planting spruce and maple trees and 45,000 square feet of land available for planting the trees. Each spruce tree costs and requires 600 square feet of land. Each maple tree costs and requires 900 square feet of land. If each spruce tree absorbs 650 lb of carbon dioxide per year and each maple tree absorbs 300 lbs of carbon dioxide per year, how many of each tree should the city plant to maximize carbon dioxide absorption?
what would be the linear programming formula and the answer to this question
Tags: absorption, carbon dioxide, linear programming, maple tree, maple trees, spruce tree, square feet, urban areas
s = number of spruce trees to plant
m = number of maple trees to plant
maximize 650s + 300m
subject to
30s + 40m ≤ 2100 [money constraint]
600s + 900m ≤ 45000 [land constraint]
s ≥ 0 [non negativity constraint]
m ≥ 0 [non negativity constraint]
Your answer will be
70 spruce trees
0 maples trees
which gives a carbon dioxide consumption of
45500 lbs