In order to understand the point where the consumption schedule intersects with the 45-degree line, it is important to first know what a consumption schedule actually is. The consumption schedule shows how much of a good is consumed over time. It does not take into account quality or prices; however, it can be used for comparing one good to another if they have similar qualities and are priced similarly. Now that you know what a consumption schedule looks like, we can analyze whether or not there exists a point where this graph intersects with the 45-degree line (see figure 1). Figure 1: A Consumption Schedule Intersecting with the 45-Degree Line Figure __: the consumption schedule intersects with the 45-degree line, but only for a moment. The point where it crosses is called an inflection point and can be found on any graph (in this case figure __). It’s important to remember that these lines are always crossing at some angle because they’re not parallel. In order for there to exist a point where the consumption schedule intersects with the 45 degree line, both graphs must cross at more than one angle. This may seem like common knowledge, however; when you look closely enough at either of these two charts, it becomes clear that they do not crossover each other as often as most people believe! We will now analyze what happens when the points in between