Write the mathematical formulation for the following problems. Clearly state the variables (eq. x, y, z) and the meaning of the variables used by you in the formulation. Write the objective function and the constraints for the linear programming problem.

No Need to find the optimal solutions, just write the formulation.

Q2) Trees help keep air fresh by absorbing carbon dioxide. The city of Normal 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 300 lb/yr of carbon dioxide. Write a linear programming formulation to decide how many of each tree should be planted to maximize carbon dioxide absorption?