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# Oscar the Groutch problem...

Hi! For a final in my Calculus AB class, we must solve an optimization problem about a trash can. I would really appreciate any help that you can give. Thanks in advance!!! :D

The Problem
"You see, we rent out these 25 cubic yard dumpsters that are in the shape of a rectangular prism. The problem that we are trying to solve is what dimensions should we make these dumpsters so that the cost of producing them is minimum. The sides, back, and front are made of 12-gauge steel sheets, which cost \$.70 per square foot. THe base is made from 10-gauge steel, which costs \$.90 per square foot.Plastic hinged lids cost about \$50 regardless of the dimensions. Welding costs approximately \$.18 per foot for material and labor combined."

We know the basics of optimization, just we've never done it with 3 variables. Thanks again :)

x-posted in math_help
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