Teams chosen from 30 forest rangers and 16 trainees are planting trees. An experienced team consisting of two rangers can plant 500 trees per week. A training team consisting of
one ranger and two trainees can plant 200 trees per week.

a. Write an objective function and constraints for a linear program that models the problem.
b. How many of each type of team should be formed to maximize the number of trees
planted? How many trainees are used in this solution? How many trees are planted in a week?