Consider an array-based Stack that is dynamically resized. For each of the following, you can assume that the arrays start as size 1. You should show your work using a summation, but you also need to explain the context.

(a) Show that the amortized cost of push is if the size of the stack is quadrupled each (1)O time it becomes full. (b) Show that the amortized cost of push is if the size of the stack is increased by 50 (N)O each time it becomes full.