Question: A rectangular tank with a square base and an open top must have a volume of 12,800 ft. Material for the base costs $4

A rectangular tank with a square base and an open top must have a volume of 12,800 ft. Material for the base costs $4 per square foot and for the sides costs $10 per square foot. (a) Find the dimensions (length, width and height) of the tank that minimize the cost of the materials for the tank. (b) What is the minimum cost?

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