Problem Statement:
Coca produces roughly 19 billion soda cans each year for the United States alone. Approximately how much money would they save by using the cheapest can instead of the current one..and why do you think they don’t?
Process:
What I did was I took the regular size coca cans and I made 2 different designs, one that’s bigger and one that’s smaller. The smaller can I made costs .03 cents to make vs the regular coca can is .04 cents. This is how I came up with the .03 cent can. I first created this diagram:
Height: 8.3 - for this number it was just randomly created/selected
Radius: 2.9 - for this number it was just randomly created/selected
Diameter: 5.8- for this number it was just randomly created/selected
Volume: 153.17- for this number I had to use the formula pie*radius(SQUARED)*height
S.A.: 203.97- to find this number I used 2pie*radius(SQUARED) + 2pie*radius*height
Cost: .03- after I found the number for surface area then I just multiplied that number by .0016
Solution:
The solution to this problem varies because it depends on what numbers you used to get the cheapest can, but what I found was that the can I made costs .03 cents and coca’s is .04. So yes my can is cheaper by .01 but most likely it isn’t a good deal for coca cola because then they would have to change all the can designs because they would have to make the design fit the whole can perfectly, then they would have to change the sizing of the can, the materials they use. Also customers would be getting less soda then they would be getting regularly. Many more things would have to happen if they really changed the can. Overall it wouldn’t pay off in the end because by saving .01 cent off the can would affect a lot more then just the can, it would affect the entire company. Then another question would come up, would they change the size of their other products or just coke?
Reflection:
A habit of a Mathematician that I used during this problem was solve a simplier problem, because the first worksheet we did we were working with the original can, then we moved onto making our own can designs and sizes, then finding out more about the cost and surface area of the can, so it slowly progressed into a larger problem even though we started off slow and simple.
Coca produces roughly 19 billion soda cans each year for the United States alone. Approximately how much money would they save by using the cheapest can instead of the current one..and why do you think they don’t?
Process:
What I did was I took the regular size coca cans and I made 2 different designs, one that’s bigger and one that’s smaller. The smaller can I made costs .03 cents to make vs the regular coca can is .04 cents. This is how I came up with the .03 cent can. I first created this diagram:
Height: 8.3 - for this number it was just randomly created/selected
Radius: 2.9 - for this number it was just randomly created/selected
Diameter: 5.8- for this number it was just randomly created/selected
Volume: 153.17- for this number I had to use the formula pie*radius(SQUARED)*height
S.A.: 203.97- to find this number I used 2pie*radius(SQUARED) + 2pie*radius*height
Cost: .03- after I found the number for surface area then I just multiplied that number by .0016
Solution:
The solution to this problem varies because it depends on what numbers you used to get the cheapest can, but what I found was that the can I made costs .03 cents and coca’s is .04. So yes my can is cheaper by .01 but most likely it isn’t a good deal for coca cola because then they would have to change all the can designs because they would have to make the design fit the whole can perfectly, then they would have to change the sizing of the can, the materials they use. Also customers would be getting less soda then they would be getting regularly. Many more things would have to happen if they really changed the can. Overall it wouldn’t pay off in the end because by saving .01 cent off the can would affect a lot more then just the can, it would affect the entire company. Then another question would come up, would they change the size of their other products or just coke?
Reflection:
A habit of a Mathematician that I used during this problem was solve a simplier problem, because the first worksheet we did we were working with the original can, then we moved onto making our own can designs and sizes, then finding out more about the cost and surface area of the can, so it slowly progressed into a larger problem even though we started off slow and simple.