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E This test: 35 point(s) possible Test: Module 2 - Diagnostic Test (One Attempt, 35 ques... Question 5 of 35 This question: 1 point(s) possible

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E This test: 35 point(s) possible Test: Module 2 - Diagnostic Test (One Attempt, 35 ques... Question 5 of 35 This question: 1 point(s) possible Submit test A model for consumers' response to advertising is given by the equation N(a) = 2200 + 550 In a, where N(a) is the number of units sold, a is the amount spent on advertising, in thousands of dollars, and a z 1. Complete parts (a) through (d). a) How many units were sold after spending $1,000 on advertising? units were sold after spending $1,000 on advertising b) Find N'(a). N'(a) = Find N'(10) N'(10) = units per $1,000 spent on advertising (Simplify your answer.) c) Find the maximum value, if it exists. Select the correct choice below and fill in any answer boxes within your choice. A. The maximum value is units. O B. There is no maximum value. Find the minimum value, if it exists. Select the correct choice below and fill in any answer boxes within your choice. O A. The minimum value is units. O B. There is no minimum value. d) Find lim N'(a). Does it make sense to spend more and more dollars on advertising? 8-+ 00 O lim N'(a) = 550, so it does make sense. The derivative is always positive as a increases, so the sales, and consequently profit, will continually increase. a-+co O lim N'(a) =0, so it does not make sense. Eventually, the profit from the increase in sales will be less than the amount spent on advertising to achieve that increase. a-+co

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