Final answer:
The supermarket should purchase 326 boxes of lettuce tomorrow.
Step-by-step explanation:
To determine the number of boxes of lettuce the supermarket should purchase tomorrow, we need to consider the demand for lettuce and the standard deviation.
The average demand for lettuce is 280 boxes with a standard deviation of 46 boxes.
To ensure they have enough supply to meet demand, the supermarket should purchase enough boxes of lettuce to cover the average demand plus a safety stock.
One common approach is to add a safety stock equal to one standard deviation.
So, the supermarket should purchase 280 + 46 = 326 boxes of lettuce tomorrow.