Question: You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the

You are constructing a box for your cat to sleep in. The plush material for the square bottom of the box costs $5/ft2 and the material for the sides and the top costs $2/ft2. You need a box with volume 4 ft3. Find the dimensions of the box that minimize cost. Then find the minimum cost. Assume that the box does not have one of the sides in order for the cat to get in. Round all answers to 2 decimal places, if needed.

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