Question: Find the optimal dimensions for a heated cylindrical tank designed to hold 10 m3 of fluid. The ends and sides cost $200/m2 and $100/m2, respectively.

Find the optimal dimensions for a heated cylindrical tank designed to hold 10 m3 of fluid. The ends and sides cost $200/m2 and $100/m2, respectively. In addition, a coating is applied to the entire tank area at a cost of $50/m2.

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