|Dollie decides to drink just water after finding out that she was consuming too much caffeine-more than 330 milligrams a day. On a typical day, she drank a cup of coffee (120 milligrams of caffeine) and two cans of diet cola in the morning (each containing 42 milligrams of caffeine) and more cans of the same diet cola after noon. How many cans of diet cola did she usually drink after noon?

Q: Refer to image

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A: Consider the profit function  P(x)=5x3−33x2+1

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Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.