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(8) Suppose that a factory produces widgets. The set-up costs of the factory is $ 20,000.00 per month. After that, for every 10 hours the

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(8) Suppose that a factory produces widgets. The set-up costs of the factory is $ 20,000.00 per month. After that, for every 10 hours the factory runs, the cost goes up by $ 200.00. If you graph the cost with respect to the number of hours the factory runs, what kind of a graph would you get? What kind of discontinuities do you encounter? (9) Suppose f and g are continuous functions such that f(3) = 4 and lime-3[f(x)g(x) +79(x)] = 12. Find g(3). (10) Explain why the following functions are continuous on the given open intervals: (a) f(x) 3x2 +7 on (4, 00) x - 4

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