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A mixing tank is to be built with a circular cover and a hemispherical bottom. The body is also in the shape of a cylinder.

A mixing tank is to be built with a circular cover and a hemispherical bottom. The body is also in the shape of a cylinder. The top, body, and bottom all have the same diameter (D) and the Cost of materials and labor is given by the equation USD 3500/ m^2 total surface area. Other fixed costs are given by the equation:USD [3500/D + 2000/H] where H is the height of the cylinder. What are the optimum values of D and H?

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