A box with a rectangular base, square ends and no lid is to be made out of two types of wood. The wood for the ends and the front costs $$15/ m^{2}$ and the wood for the base and the back cost $$8/ m^{2}$ . If the total volume of the box must be $7 m^{3}$ find the dimensions that will minimize the cost of the wood.

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A box with a rectangular base, square ends and no lid is to be made out of two types of wood. The wood for the ends and the f

A box with a rectangular base, square ends and no lid is to be made out of two types of wood. The wood for the ends and the front costs

$15/ m^{2}

and the wood for the base and the back cost

$8/ m^{2}

. If the total volume of the box must be

7 m^{3}

find the dimensions that will minimize the cost of the wood.

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