Question: A company's revenue from car sales, C (in thousands of dollars), is a function of advertising expenditure, a, in thousands of dollars, so C = f(a).
(a) What does the company hope is true about the sign of f'?
(b) What does the statement f'(100) = 2 mean in practical terms? How about f'(100) = 0.5?
(c) Suppose the company plans to spend about $100,000 on advertising. If f'(100) = 2, should the company spend more or less than $100,000 on advertising? What if f'(100) = 0.5?