Archive for the ‘Mathematics’ Category

What should be the length and width of the aquarium to minimize cost of materials, and what is the min cost?

Monday, August 4th, 2008
Changyeon L asked:


A rectangular aquarium is to be 4 ft high and have a volume of 88 cu ft. The base, ends, and back are to be made of slate which costs $1.35 sq/ft, and the front is to be made of special reinforced glass that costs $2.35 sq/ft. What should be the length and width of the aquarium to minimize the cost of materials, and what is the minimum cost to build the aquarium?

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