2/22/13 N.A.H.D.S Project
Dear. Merle Shenk, First of all thank you for supporting our grant application. Last time we talked we were trying to figure out the most cost efficient and material efficient can size. I used a couple equations to solve our main problem of the Ecopop can sizes. You wanted me to follow a couple required specifications; the can requires a surface area of 22 cubic inches, a volume of twelve ounces, and a cylindrical shape. You also required me to find the most cost effective solution for the can. I found a couple formulas to be helpful to find the solution. Firstly is the Surface area equation for cylinders. 2.
H=22/.
The one problem that I had with this formula was that there were two variables. Since two formulas were given, the first equation could be plugged into the second equation, which results in an equation with one variable.
2.
When graphed a parabola is formed. The lowest point of the parabola is the most effective material-wise construction.

According to the graph the most effective construction is having a can with a radius of 1.52 inches, a height of 6.17inches, and a total surface area of 43.46cm. The formula for the most cost effective method combined the two cost variables and the surface area formula.
.06(2.
This formula is similar to the first formula in that there are two variables. A single variable is needed in order to graph it resulting in the cost formula.
.06(2.
The .03 is for the cost