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06-06-2023
Mathematics

contestada

A box with a rectangular base and no top is to be made to hold 2 litres (or 2000 cm 3
). The length of the base is twice the width. The cost of the material to build the base is $2.25/cm 2
and the cost for the sides is $1.50/cm 2
. What are the dimensions of the box that minimize the total cost? Justify your answer. Hint: Cost Function C=2.25× area of base +1.5× area of four sides

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