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A student makes a rectangular box subject to following conditions. i) The top of the box...

A student makes a rectangular box subject to following conditions. i) The top of the box is open, so no material is used for the top. ii) Base of the box is a square and constructed by a material which costs A TL per unit square. iii) The four sides of the box are constructed by a material which costs 3 TL per unit square. iv) The total cost of the box does not exceed C TL. (Hint: Answer does not depend on C) v) The volume of the box must be as large as possible. If the student sees that the resulting box is a cube, what is A?

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