SOLUTION: Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 square

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 square      Log On


   

Question 1098434: Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 square feet. Spruce trees cost $30 to plant and require 600 square feet of space. Maple trees cost $40 to plant and require 900 square feet of space. Spruce trees absorb 650 lb/yr of carbon dioxide and maple trees absorb 300lb/yr of carbon dioxide. How many of each tree should the city plant to maximize carbon dioxide absorption?
S= spruce trees
M= maple trees
cost= 30s+40m is less than or equal to $2100
space= 600s+900m is less than or equal to 45,000 square feet
(I am having trouble with figuring out the objective function)
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!

"Objective function" is not just a mathematical term. It means what it says.

What IS the objective in this problem? To maximize the amount of carbon dioxide absorbed by the trees.

So the objective function is 650s + 300m