The average weight, W, in pounds of an adult is a function, W = f(c), of the average number of calories, c, consumed per day. a) What does f(1800) = 155 mean in this context? What does it say about calories and weight? b) What units are used to measure f(1800)? c) What does f'(1800) = 2 mean in this context? What does it say about calories and weight? d) What units are used to measure f(1800)? e) Suppose that f'(2000) = 0 and f''(2000).= - 5. What does the second derivative test tell us about the weight of a person who consumes an average of 2000 calories per day? If this person is trying to lose weight, would you recommend that they consume an additional 10 calories per day? Explain your reasoning.

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