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Exercise 5. (8 points) A pencil cup with a capacity of 36 in' is to be constructed in the shape of a rectangular box with

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Exercise 5. (8 points) A pencil cup with a capacity of 36 in' is to be constructed in the shape of a rectangular box with a square base and an open top. If the material for the sides costs 15c/in and the material for the base costs 40c/in, what should the dimensions of the cup be to minimize the construction cost

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