2. The Shiver-me-Timbers tree farms has 12,500 lumber-quality fast growing trees that are ready to be harvested. The company has a strategy that each year it will harvest 12% of the trees and plants 846 lumber-quality trees during the year. Let n represent the number of years and y, represent the number of lumber-quality trees on the farm at the end of the year, Do/answer the following: A. Form the difference equation and initial value that models the timber company's strategy where y, represent the number of lumber-quality trees on the farm at the end of the year and Yn-1 represent the number of lumber-quality trees on the farm at the end of the previous year. (3 points) B. Solve the difference equation. Show in detail how you arrived at your answer. (5 points) C. Use the solution of the difference equation to find Y45 - (2 points) D. Interpret the result for part C. (2 points) E. According to the difference equation model, will the tree farm ever reach a point in the future when it you have no trees to harvest? Show how you arrived at your answer. (3 points) 2. The Shiver-me-Timbers tree farms has 12,500 lumber-quality fast growing trees that are ready to be harvested. The company has a strategy that each year it will harvest 12% of the trees and plants 846 lumber-quality trees during the year. Let n represent the number of years and y, represent the number of lumber-quality trees on the farm at the end of the year, Do/answer the following: A. Form the difference equation and initial value that models the timber company's strategy where y, represent the number of lumber-quality trees on the farm at the end of the year and Yn-1 represent the number of lumber-quality trees on the farm at the end of the previous year. (3 points) B. Solve the difference equation. Show in detail how you arrived at your answer. (5 points) C. Use the solution of the difference equation to find Y45 - (2 points) D. Interpret the result for part C. (2 points) E. According to the difference equation model, will the tree farm ever reach a point in the future when it you have no trees to harvest? Show how you arrived at your answer. (3 points)