I developing a formula for this example:

[mrtsufo]

Hello! I am looking for find a formula based on the generic example I will describe below. This is not for any school project and I am not a mathematician by any means. I will do my best to explain the scenario in hopes that someone can help me with a formula that fits the situation. Here goes:

Goal:

Create a formula that can generate a real-time moving ratio during a certain interval of time.

Example:

Let’s say you have food served in two rooms that are right next to each other. The Blue Room on the left has a sign that states “Cookies in here” with an arrow pointing into the room. The Green Room on the right has a sign that states “Healthy Food in here” with an arrow pointing into that room.

Your goal is to monitor in real time (in one minute intervals and at the end of that interval, the ratio starts over again) how many people go into each room. The end results are a normalized real time ratio as people continue to go into each room, telling you which room is more popular than the other and in real time.

Weighting:

If a person comes in with a child, that is considered 2 people, thus holding more weight than one person.

If a MALE walks into a room, it holds 30% more weight than if a female walks into that same room(based on that a male eats more than a female).



I may be missing points here, but I think this is a start. I really appreciate any help on this subject! Thanks. –Mike

 

[anathema]

Dear Mike,

Thank you for your post and for providing a clear example to work with. I am happy to help you find a formula that fits your scenario.

Based on your goal of creating a formula that can generate a real-time moving ratio during a certain interval of time, I would suggest using the following formula:

Ratio = (Number of people in Blue Room / Number of people in Green Room) * 100

This formula will give you a percentage value that can be continuously updated in real time as people enter the rooms. For example, if there are 10 people in the Blue Room and 20 people in the Green Room, the ratio would be (10/20)*100 = 50%. This means that the Green Room is currently more popular than the Blue Room.

To incorporate the weighting for children and gender, you can modify the formula to account for these factors. For example, if you assign a weight of 2 for each child and a weight of 1.3 for males, the formula would be:

Ratio = ((Number of people in Blue Room * 1.3) / (Number of people in Green Room * 2)) * 100

This formula takes into account the number of people in each room as well as their weights, giving a more accurate representation of the popularity of each room.

I hope this formula helps you achieve your goal of monitoring the popularity of the Blue and Green Rooms in real time. If you have any further questions, please don't hesitate to reach out.

Best of luck,

 

[quicknote]

I find your goal and example interesting and challenging. It seems like you are trying to measure the popularity of two different food options in real-time, while also taking into account the different weights of individuals. This could be useful in a variety of scenarios, such as tracking customer preferences in a restaurant or monitoring the usage of different resources in a public space.

To develop a formula for this example, we first need to define some variables. Let's call the number of people going into the Blue Room "B" and the number of people going into the Green Room "G". We will also need to keep track of the weight of each person, which we can represent as "w". If a person comes in with a child, their weight will be 2, while a male's weight will be 1.3 and a female's weight will be 1. To keep track of the time intervals, we can use "t" as the variable for time.

Based on these variables, we can create the following formula to calculate the real-time ratio of people going into each room:

(Bw + 1.3Gw) / (B + G)

This formula takes into account the weight of each person entering the rooms, giving more weight to males and people with children. The denominator, (B + G), ensures that the ratio remains normalized and reflects the true popularity of each room.

To track the ratio in real-time, we can use the formula at the end of each time interval (e.g. every minute) and then reset the variables for the next interval. This will give you a continuous, real-time ratio that reflects changes in popularity over time.

Of course, this formula may need to be adjusted depending on the specific scenario and factors involved. But it provides a starting point for calculating a real-time moving ratio in a situation like the one you described. I hope this helps and good luck with your research!