1. By: Yu Rim Hyung Rae Seong Min Chloe Yuan ke
KFC’s proposal
By: Yu Rim
Hyung Rae
Seong Min
Chloe
Yuan ke

2. Introduction
For the past few weeks KFC had being aiming to design, and price, a water and grain storage facility for a village that has fifty families.
The storage facility must be able to contain a two week supply of water and grain.
The walls and roof of the facility will be made out of metal sheet that costs $14 per m2.
The facility must be placed on a 20cm thick concrete floor. The concrete costs $640 per m3.
We must make every effort to keep the cost as low as possible.

3. How many people’s in a family?
Research had shown that the average population of a family is around 4 ± 1(two adults and two children)
Therefore 50x4 ±1=200±50 people are included in this 50 families

4. Water Storage

5. What we found out in our research?
Each person needs about 117Liters
50 Families would need water of Liters
Activities
Toilet Flush (40 Liters)
Shower (34 Liters)
Washing Clothes (26 Liters)
Washing Dishes (14 Liters)
Cooking (1 Liter)
Drinking (2 Liters)
Total 117 Liters

6. What is it the best solution?
Cylinder with Radius of 2.35meters and height of 14.2 meters, with cost of $ to build

7. Why is it the best solution?
50 families would need liters for living.
1 Liter is converted to 1m3
Liters = 245.7m3
During research, found that larger height makes the shape to be cheaper.
However, base cannot be too small and just tall, because then it will collapse very easily.

8. How we found the solution (justification)?
Deciding on which dimension is the best. (Longest height)
To prevent the building from falling sideways, the diameter of the base has to be 3~4 times smaller than height maximum.

9. Maximum Height = 3 x Diameter Therefore,
Volume of cylinder = Radius2 x π x height
Maximum Height = 3 x Diameter
Therefore,
R2 x 2R(Diameter) x 3 x π = 245.7
R2 x 6R = 78.21
R2 x R = 13.03
R3 = 13.03
R = 2.35

10. Using the Radius, find the height.
2.352 x H x π = 245.7
H = about 14.2.
Calculating the Total Surface area of the cylinder.
(2.352xπx 2) + (2.35x2xπx14.2) =
x 14 = Cost of the Metal Sheet
Metal sheet cost = $3421.6
Calculating the Concrete volume.
Concrete would have 0.5 meters added to the original container. the concrete’s radius = 2.85 height = 0.2
Volume of concrete = x π x 0.2 = 5.1
Cost of concrete = 5.1 x 640 = $3264
THE TOTAL COST = $ $3264 = $6685.6

11. Grain storage

12. What we found out in our research?
One bowl of rice contains 150 ± 15g, a person eats about 3 bowls per day which makes it 300 ± 30g per person per day
300 ±30g x200±50 people

13. What is it the best solution?

14. Why is it the best solution?

15. How we found the solution (justification)?

16. Citation