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6. A rectangular box having a top and a square base is to be constructed at a cost of $1. If the material for the

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6." A rectangular box having a top and a square base is to be constructed at a cost of $1. If the material for the bottom costs $0.35 per square foot, the material for the top costs $0. 15 per square foot, and the material for the sides costs $0.20 per square foot, find the dimensions and volume of the box of maximum volume that can be constructed. Round your answer to two decimal places

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