Question: A women wants to construct a box whose base length is twice the base width. The material to build the top and bottom is 59/m^2

A women wants to construct a box whose base length is twice the base width. The material to build the top and bottom is 59/m^2 and the material to build the sides is 56/m^2 if the woman wants the box to have a volume of 70 m^3, determine the dimensions of the box (in metres) that will minimize the cost of production. What is the minimum cost?

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