Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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A marine manufacturer will sell N(x) power boats after spending $x thousand on advertising, as given by N(x) = 960 –
3,810
5sxs30.
ANCX)
1000-
X
900-
(A) Find N'(x).
(B) Find N'(10) and N'(20). Write a brief verbal interpretation of these results.
80-
700-
웅 600-
500-
400-
300-
200-
100-
0-
O 5 10 15 20 25 30 35
Thousands of advertising dollars
(A) N'(x) = D
(B) N'(10) = (Type an integer or a decimal.)
Interpret N'(10). Choose the correct answer below.
A. The marine manufacturer will sell 38.1 power boats after spending $10,000 on advertising.
O B. At the $10,000 level of advertising, sales are increasing at the rate of 38.1 boats per $1,000 spent on advertising.
O C. The marine manufacturer will sell 10 power boats after spending $38.1 thousand on advertising.
O D. At the $38.1 thousand level of advertising, sales are increasing at the rate of 10 boats per $1,000 spent on advertising.
N'(20) = (Type an integer or a decimal.)
Interpret N'(20). Select the correct choice below and fill in the answer box to complete your choice.
O A. The marine manufacturer will sell 20 power boats after spending $
thousand on advertising.
O B. The marine manufacturer will sell
power boats after spending $20,000 on advertising.
Boats sold
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Transcribed Image Text:A marine manufacturer will sell N(x) power boats after spending $x thousand on advertising, as given by N(x) = 960 – 3,810 5sxs30. ANCX) 1000- X 900- (A) Find N'(x). (B) Find N'(10) and N'(20). Write a brief verbal interpretation of these results. 80- 700- 웅 600- 500- 400- 300- 200- 100- 0- O 5 10 15 20 25 30 35 Thousands of advertising dollars (A) N'(x) = D (B) N'(10) = (Type an integer or a decimal.) Interpret N'(10). Choose the correct answer below. A. The marine manufacturer will sell 38.1 power boats after spending $10,000 on advertising. O B. At the $10,000 level of advertising, sales are increasing at the rate of 38.1 boats per $1,000 spent on advertising. O C. The marine manufacturer will sell 10 power boats after spending $38.1 thousand on advertising. O D. At the $38.1 thousand level of advertising, sales are increasing at the rate of 10 boats per $1,000 spent on advertising. N'(20) = (Type an integer or a decimal.) Interpret N'(20). Select the correct choice below and fill in the answer box to complete your choice. O A. The marine manufacturer will sell 20 power boats after spending $ thousand on advertising. O B. The marine manufacturer will sell power boats after spending $20,000 on advertising. Boats sold
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