Fruit tree output varies from year to year; can you plan ahead? Part I
- for the first 4 years, peach trees produce no fruit.
- for years 5-20, peach trees produce 5 bushels / year
- after year 20, peach trees no fruit
How often should you plan on replanting new trees to maximize peach production over the next 100 years? (note that fractional years are not an option, since you'd miss the harvest if the trees aren't present for a full year)?
Details and assumptions
If you are interested in optimization problem, you might want to look at Part Two of this problem.