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Topic: Optimization Project
Replies: 10   Last Post: Dec 10, 1999 9:49 AM

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Posts: 28
Registered: 12/6/04
Optimization Project
Posted: Dec 6, 1999 10:49 PM
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Hi All,

I recently assigned a project to my AB class and we are encountering some
confusion. If anyone could clarify things it would be appreciated. I got
the project from "A Watched Cup Never Cools" put out by Key Curriculum Press.
The name of the project is PRISM POP. The set up is as follows:

Your team has been given the assignment of submitting a packaging plan
for a new product. Prism Pop is a soda to be sold in hexagonally based cans,
each holding 355 milliliters of pop.The management prefers plans that lower
the cost. The material for the sides costs 0.01 cents per square centimeter.
The material for the bottom costs 0.03 cents per square centimeter. The
material for the top costs 0.02 cents per square centimeter.

My question is this: the problem did not specify that the base had to be a
REGULAR hexagon even though the diagram accompanying it did show a regular
hexagon. If the base is not regular, how could you find the cost of the area
to minimize? I may be missing something obvious, but I really am stumped on
this one. All help is greatly appreciated.

Jeanne M. Benecke
Tappan Zee High School
Orangeburg, NY 10965

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