2 It costs Sugarco 25/lb to purchase the first 100 lb of sugar, 20/lb to purchase the...

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2 It costs Sugarco 25¢/lb to purchase the first 100 lb of sugar, 20¢/lb to purchase the next 100 lb, and 15¢ to buy each additional pound. Let f (x) be the cost of purchasing x pounds of sugar. Is f (x) continuous at all points? Are there any points where f (x) has no derivative?

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