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Mathematics, 20.05.2021 23:10 ander67061

A cedar chest (closed box) is to be built, In order to reduce the cost, the base and the back of the chest will be made of pine. The top, front and both ends will be made of cedar. The cost of cedar is $8 /m? and the cost of pine is $4 /m². The ends of the chest are square. If there is $180 available for purchasing the wood, determine the dimensions of the chest with maximum volume. Illustrate with a diagram.

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