The Shiver-me-Timbers tree farms has 5,900 lumber-quality trees ready to be harvested. The company has a...

   

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The Shiver-me-Timbers tree farms has 5,900 lumber-quality trees ready to be harvested. The company has a strategy of harvesting 17% of the trees (that are remaining at the beginning of the year) and planting 112 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 yn 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. (5 points) B. Use the difference equation to generate y₁, yz, and y3. Round the values of y₁, V2, and ys to two decimal places. Show how you arrived at your answers. (3 points) D. C. Solve the difference equation. Show in detail how you arrived at your answer. (5 points) Check to see if your solution of the difference equation is correct by generating y2 and ya using the solution of the difference equation. Round the values of y2 and y, to two decimal places. Show how you arrived at your answers. (2 points) E. Now that you have checked to see if your solution of the difference equation is the correct solution of the difference equation, now use it to generate the values for y20, Yao, Y60, Y80, Y100, and y150. Round the resulting values to two decimal places. (3 points) F. Do the values from part E suggest that there will be a time when all the trees on the farm will all be harvested (i.e. will there be a time in which there will no longer be any trees to harvest on the farm)? Explain (2 points) The Shiver-me-Timbers tree farms has 5,900 lumber-quality trees ready to be harvested. The company has a strategy of harvesting 17% of the trees (that are remaining at the beginning of the year) and planting 112 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 yn 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. (5 points) B. Use the difference equation to generate y₁, yz, and y3. Round the values of y₁, V2, and ys to two decimal places. Show how you arrived at your answers. (3 points) D. C. Solve the difference equation. Show in detail how you arrived at your answer. (5 points) Check to see if your solution of the difference equation is correct by generating y2 and ya using the solution of the difference equation. Round the values of y2 and y, to two decimal places. Show how you arrived at your answers. (2 points) E. Now that you have checked to see if your solution of the difference equation is the correct solution of the difference equation, now use it to generate the values for y20, Yao, Y60, Y80, Y100, and y150. Round the resulting values to two decimal places. (3 points) F. Do the values from part E suggest that there will be a time when all the trees on the farm will all be harvested (i.e. will there be a time in which there will no longer be any trees to harvest on the farm)? Explain (2 points)

Answer rating: 100% (QA)

A The difference equation that models the companys strategy is y 1 017 y 112 The initial value is y ... View the full answer