Final answer:
To manage a puzzle in menu engineering, which is an item that is popular but not profitable, it should be given top priority on the menu rather than being removed, having its price decreased, or portions reduced.
Step-by-step explanation:
After reviewing the results of menu engineering, the best way to manage a puzzle, which is a menu item with high popularity but low profitability, is to give the item top priority on the menu. Menu engineering is the study of the profitability and popularity of menu items and how these two factors influence their placement on a menu. The aim is to encourage the purchase of profitable items.
A puzzle is an item that is liked by many customers but doesn't contribute much to the bottom line. To make the most of a puzzle, you should not remove it, as it is popular. Decreasing the price or serving smaller portions could further reduce its profitability. Instead, the item should be given top priority placement on the menu, perhaps with adjustments in its preparation or presentation to increase its profitability without losing its appeal to customers.
However, the information provided in the parts a, b, c, and d appears to be related to probability calculations, which are not directly relevant to the question of managing a menu item after menu engineering analysis. Therefore, the notions of a sample space or the probabilities such as P(you will get a 17-oz. piece of meat) are not applicable here.