Math Problem Solver

You own an orchard of apple trees. From experience, you know that when 100 trees are planted, each tree yields approximately 256 apples. Furthermore, you’ve also noticed that when an additional tree is planted, the yield per tree decreases by about 16 apples for each additional tree.

1. When x is the number of additional trees planted, write a formula for the total number of trees.

2. When x is the number of additional trees planted, write a formula for the number of apples produced by each tree.

3. When x is the number of additional trees planted, write a formula for the number of apples all trees produce.

4. Using your formula for total apples, find the number of trees in the orchard required to maximize the total number of apples.