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Homework4 - Name Homework 4 Section 2.4 Answers for this...

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Unformatted text preview: Name Homework 4 Section 2.4 Answers for this assignment (numbers 1 and 2) should be in complete, grammatically correct (English) sentences, and include explanations whenever appropriate. 1. (2ea) An economist is interested in how the price of a certain item aects its sales. At a price of $p, a quantity q of the item is sold. If q = f (p), determine whether each of the following statements make sense in real world terms. If so, explain what they mean, if not, say why not. (a) f (150) = 2000 (b) f (150) = −25 (c) dq dp (d) = 25 p=150 f (150) = −25 2. (4ea) A company's revenue, R (in thousands of dollars), from sombrero sales, is a function of advertising expenditure, a (in thousands of dollars), so (a) Suppose the company plans to spend about $100, 000 R = f (a). dollars on advertising. If f (100) = 2, should the company spend more or less than $100, 000 on advertising? (b) Suppose the company plans to spend about f (100) = .75, $100, 000 dollars on advertising. If should the company spend more or less than $100, 000 on adver- tising? 3. (2ea) For a particular painkiller, the size of the dose, of the patient, w. Thus, Q = f (w), (a) What are the units of f (b) Rewrite the expression where Q Q, given depends on the weight is in milligrams and w is in pounds. ? f (200) = 2 in the alternative Leibniz notation. ...
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