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A company plans to manufacture a rectangular container with a square base an open top...

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Calculus

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A company plans to manufacture a rectangular container with a square base an open top and a volume of 214 cm The cost of the material for the base is 0 3 cents per square centimeter and the cost of the material for the sides is 0 5 cents per square centimeter Determine the dimensions of the container that will minimize the cost of manufacturing it What is the minimum cost Round any calculations and the final answer to the nearest hundredth if necessary

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