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A rectangular box is to have a square base and a volume of 20 ft3. If...

A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.17/ft2, the material for the sides costs $0.06/ft2, and the material for the top costs $0.13/ft2,

(a) determine the dimensions (in ft) of the box that can be constructed at minimum cost.

(b) Which theorem did you use to find the answer?

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