Chef and Stocks

Chef has started learning about the stock market and has already selected a favourite stock. He traded the stock for $N$ consecutive days. Let $A_i$ denotes the profit earned by Chef on the $i^{th}$ day. Note that $A_i \lt 0$ indicates that Chef had a loss on the $i^{th}$ day. Chef wants to find the **maximum** amount of of profit he would have earned, if he skipped trading for **exactly one**