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'? O The company hopes f'(a) is always positive. O The company hopes f'(a) is always negative. O The company hopes f'(a) equals zero. O The company has no sign preference. O The company hopes f'(a) is sometimes negative and sometimes positive. (b) What does the statement f'(100) = 2 mean in practical terms? O f'(100) means that if the advertising budget is $2,000, the company's revenue is $100. O f'(100) means that if the advertising budget is $100,000 the company's revenue is $2. O f'(100) means that if the advertising budget is $100,000 each extra dollar spent on advertising will bring in about $2 worth of sales. O f'(100) means that the company must sell 2 cars in order to pay for $100,000 worth of advertising. O f'(100) means that if the advertising budget is $2,000, each extra dollar spent on advertising will bring in about $100 worth of sales. How about f'(100) = 0.5? O f'(100) means that if the advertising budget is $5000, each extra dollar spent on advertising will bring in about $100 worth of sales. f'(100) means that if the advertising budget is $100,000, the company's revenue is $0.50. O f'(100) means that if the advertising budget is $5000, the company's revenue is $100. O f'(100) means that the company must sell 100 cars in order to pay for $0.50 worth of advertising. O f'(100) means that if the advertising budget is $100,000, each extra dollar spent on advertising will bring in about $0.50 worth of sales. (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? O In both cases, the company should spend more on advertising. O In both cases, there is no advantage to changing how much is spent on advertising. O Less should be spent if f'(100) = 2, but more should be spent if f'(100) = 0.5. O More should be spent if f'(100) = 2, but less should be spent if f'(100) = 0.5. O In both cases, the company should spend less on advertising.
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'? O The company hopes f'(a) is always positive. O The company hopes f'(a) is always negative. O The company hopes f'(a) equals zero. O The company has no sign preference. O The company hopes f'(a) is sometimes negative and sometimes positive. (b) What does the statement f'(100) = 2 mean in practical terms? O f'(100) means that if the advertising budget is $2,000, the company's revenue is $100. O f'(100) means that if the advertising budget is $100,000 the company's revenue is $2. O f'(100) means that if the advertising budget is $100,000 each extra dollar spent on advertising will bring in about $2 worth of sales. O f'(100) means that the company must sell 2 cars in order to pay for $100,000 worth of advertising. O f'(100) means that if the advertising budget is $2,000, each extra dollar spent on advertising will bring in about $100 worth of sales. How about f'(100) = 0.5? O f'(100) means that if the advertising budget is $5000, each extra dollar spent on advertising will bring in about $100 worth of sales. f'(100) means that if the advertising budget is $100,000, the company's revenue is $0.50. O f'(100) means that if the advertising budget is $5000, the company's revenue is $100. O f'(100) means that the company must sell 100 cars in order to pay for $0.50 worth of advertising. O f'(100) means that if the advertising budget is $100,000, each extra dollar spent on advertising will bring in about $0.50 worth of sales. (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? O In both cases, the company should spend more on advertising. O In both cases, there is no advantage to changing how much is spent on advertising. O Less should be spent if f'(100) = 2, but more should be spent if f'(100) = 0.5. O More should be spent if f'(100) = 2, but less should be spent if f'(100) = 0.5. O In both cases, the company should spend less on advertising.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![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'?
O The company hopes f'(a) is always positive.
O The company hopes f'(a) is always negative.
The company hopes f'(a) equals zero.
The company has no sign preference.
O The company hopes f'(a) is sometimes negative and sometimes positive.
(b) What does the statement f'(100) = 2
mean in practical terms?
O f'(100) means that if the advertising budget is $2,000, the company's revenue is $100.
O f'(100) means that if the advertising budget is $100,000 the company's revenue is $2.
O f'(100) means that if the advertising budget is $100,000 each extra dollar spent on advertising will bring in about $2 worth of sales.
O f'(100) means that the company must sell 2 cars in order to pay for $100,000 worth of advertising.
O f'(100) means that if the advertising budget is $2,000, each extra dollar spent on advertising will bring in about $100 worth of sales.
How about f'(100) = 0.5?
O f'(100) means that if the advertising budget is $5000, each extra dollar spent on advertising will bring in about $100 worth of sales.
O f'(100) means that if the advertising budget is $100,000, the company's revenue is $0.50.
O f'(100) means that if the advertising budget is $5000, the company's revenue is $100.
O f'(100) means that the company must sell 100 cars in order to pay for $0.50 worth of advertising.
O f'(100) means that if the advertising budget is $100,000, each extra dollar spent on advertising will bring in about $0.50 worth of sales.
(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)
O In both cases, the company should spend more on advertising.
O In both cases, there is no advantage to changing how much is spent on advertising.
O Less should be spent if f'(100) = 2, but more should be spent if f'(100) = 0.5.
O More should be spent if f'(100) = 2, but less should be spent if f'(100) = 0.5.
O In both cases, the company should spend less on advertising.
= 0.5?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37c8cbe2-8f67-4090-8330-ce69eabc3861%2Ffce37a2e-dafd-4f33-a90c-313bd8c1be04%2Fndi2x9_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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'?
O The company hopes f'(a) is always positive.
O The company hopes f'(a) is always negative.
The company hopes f'(a) equals zero.
The company has no sign preference.
O The company hopes f'(a) is sometimes negative and sometimes positive.
(b) What does the statement f'(100) = 2
mean in practical terms?
O f'(100) means that if the advertising budget is $2,000, the company's revenue is $100.
O f'(100) means that if the advertising budget is $100,000 the company's revenue is $2.
O f'(100) means that if the advertising budget is $100,000 each extra dollar spent on advertising will bring in about $2 worth of sales.
O f'(100) means that the company must sell 2 cars in order to pay for $100,000 worth of advertising.
O f'(100) means that if the advertising budget is $2,000, each extra dollar spent on advertising will bring in about $100 worth of sales.
How about f'(100) = 0.5?
O f'(100) means that if the advertising budget is $5000, each extra dollar spent on advertising will bring in about $100 worth of sales.
O f'(100) means that if the advertising budget is $100,000, the company's revenue is $0.50.
O f'(100) means that if the advertising budget is $5000, the company's revenue is $100.
O f'(100) means that the company must sell 100 cars in order to pay for $0.50 worth of advertising.
O f'(100) means that if the advertising budget is $100,000, each extra dollar spent on advertising will bring in about $0.50 worth of sales.
(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)
O In both cases, the company should spend more on advertising.
O In both cases, there is no advantage to changing how much is spent on advertising.
O Less should be spent if f'(100) = 2, but more should be spent if f'(100) = 0.5.
O More should be spent if f'(100) = 2, but less should be spent if f'(100) = 0.5.
O In both cases, the company should spend less on advertising.
= 0.5?
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