A rectangular box with no top must have a volume of 2,500 cm3.
Three different materials will be used in the construction of this box. The bottom will be made out of material that costs 5 cents/cm2, the front and back will be made out of material that costs 4 cents/cm2, and
material for the two sides costs 2 cents/cm2.
What are the dimensions of the box (with volume 2,500 cm3) that will minimize the total cost of the materials?
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