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A rectangular wooden chest is twice as long as it is wide. The top and sides of the chest are made of oak and the

A rectangular wooden chest is twice as long as it is wide. The top and sides of the chest are made of oak and the bottom is made of pine. The volume of the box is 0.25 cubic metres. The oak costs $2/m2 and the pine is $1/m2 . Find the dimensions that will minimize the cost of making the chest

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