Question: A box with a rectangular base and no lid is to be made out of two types of wood. The wood for the sides

A box with a rectangular base and no lid is to be

A box with a rectangular base and no lid is to be made out of two types of wood. The wood for the sides costs $11/m2 and the wood for the base costs $7 /m2. If the total volume of the box must be 6 m3 and the length must be three times the width, find the dimensions that will minimize the cost of the wood.

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