Question: A rectangular open-topped box of height h with a square base of side b has volume V = 4 m 3 . Two of the

A rectangular open-topped box of height h with a square base of side b has volume V = 4 m3. Two of the side faces are made of material costing $40/m2. The remaining sides cost $20/m2. Which values of b and h minimize the cost of the box?

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