Extra Credit Assignment:
Are you maximizing your Chocolate Dollars
with the Toblerone chocolate bar?
I. Problem Description:
Toblerone is a chocolate that is distributed in a
distinctive triangular prism shaped box as shown in the
figure.
Fig. 1. The familiar Toblerone package
Assuming that the packaging costs are about the same we
want to find out if the package has a maximum interior
volume for this particular shape.
The dimensions for this package are the following:
1. 8.5 inches in length (left to right in the image)
2. 1.15 inches in height (top to bottom on the triangle)
3. 1.4 inches in width (across the bottom of the
triangle)
The challenge in this problem is to determine if this
configuration maximizes the volume inside the container. If
so, we will get the maximum amount of chocolate for the
price. If not, the amount of chocolate may be a bit smaller.
