Question

A rectangular box is to have a square base and a volume of 16 ft3. If the material for the base costs $0.25/ft2, the material for the sides costs $0.10/ft2, and the material for the top costs $0.15/ft2, determine the dimensions (in ft) of the box that can be constructed at minimum cost. (Refer to the figure below.)

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Tagged in
Math
Calculus

Applications of Derivative