In a survey, 160 consumers were asked about their buying preferences concerning a product th: 11 buy only those sold under label A. 20 buy only those sold under label B. 26 buy only those sold under label C. 13 buy only those sold under labels A and B. 9 buy only those sold under labels A and C. 11 buy only those sold under labels B and C. 9 buy the product sold under all three labels. How many of the consumers surveyed buy the product sold under (a) At least one of the three labels? consumers (b) Labels A and B but not C? consumers (c) Label A? consumerS (d) None of these labels? consumerS
In a survey, 160 consumers were asked about their buying preferences concerning a product th: 11 buy only those sold under label A. 20 buy only those sold under label B. 26 buy only those sold under label C. 13 buy only those sold under labels A and B. 9 buy only those sold under labels A and C. 11 buy only those sold under labels B and C. 9 buy the product sold under all three labels. How many of the consumers surveyed buy the product sold under (a) At least one of the three labels? consumers (b) Labels A and B but not C? consumers (c) Label A? consumerS (d) None of these labels? consumerS
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:### Survey on Consumer Buying Preferences
In a survey, 160 consumers were asked about their buying preferences concerning a product that is sold under different labels:
- 11 consumers buy only those sold under label A.
- 20 consumers buy only those sold under label B.
- 26 consumers buy only those sold under label C.
- 13 consumers buy only those sold under labels A and B.
- 9 consumers buy only those sold under labels A and C.
- 11 consumers buy only those sold under labels B and C.
- 9 consumers buy the product sold under all three labels.
**Questions:**
(a) How many consumers buy the product sold under at least one of the three labels?
______ consumers
(b) How many consumers buy the product sold under labels A and B but not C?
______ consumers
(c) How many consumers buy the product sold under label A?
______ consumers
(d) How many consumers buy none of these labels?
______ consumers
This survey aims to understand the preferences of consumers when multiple labeling options are available for a product. The data offers insights into consumer behavior and can help businesses optimize their labeling strategies.
Please fill in the blanks with the appropriate calculations based on the data given.
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