In a fishpond, 1200 salmon are introduced for farming/harvesting. Each year the number of salmon increase by 30% before 400 are harvested. (a) Formulate this information into a finite difference model, clearly explaining all variables used. (b) Compute the first 10 years of the salmon numbers. What do you notice? (Perhaps an Excel spreadsheet may be useful here). (c) Suppose now, that only 300 are harvested each year. Compute the first 10 years again and compare results with (b). (d) Solve the difference equation in terms of H, the number that should be harvested to keep the numbers from either going to zero or growing without bound. Calculate the value of H for this. In a fishpond, 1200 salmon are introduced for farming/harvesting. Each year the number of salmon increase by 30% before 400 are harvested. (a) Formulate this information into a finite difference model, clearly explaining all variables used. (b) Compute the first 10 years of the salmon numbers. What do you notice? (Perhaps an Excel spreadsheet may be useful here). (c) Suppose now, that only 300 are harvested each year. Compute the first 10 years again and compare results with (b). (d) Solve the difference equation in terms of H, the number that should be harvested to keep the numbers from either going to zero or growing without bound. Calculate the value of H for this