Consider the simple economy that produces only three products. Use the information in the following table to calculate the (annual rate of) inflation for 2020 as measured by the consumer price index (CPI). BASE YEAR (2010) Price $10.00 2.00 15.00 2019 Price $11.00 2.45 15.00 Quantity 3 11 5 2020 Price $16.20 2.40 14.00 Product Haircuts Hamburgers Movies Using the information in the table, the CPI for 2019, with 2010 as the base year, is (Enter your response rounded to one decimal place.) The inflation rate for 2020 as measured by the consumer price index (CPI) is %. (Enter your response rounded to two decimal places.)
Consider the simple economy that produces only three products. Use the information in the following table to calculate the (annual rate of) inflation for 2020 as measured by the consumer price index (CPI). BASE YEAR (2010) Price $10.00 2.00 15.00 2019 Price $11.00 2.45 15.00 Quantity 3 11 5 2020 Price $16.20 2.40 14.00 Product Haircuts Hamburgers Movies Using the information in the table, the CPI for 2019, with 2010 as the base year, is (Enter your response rounded to one decimal place.) The inflation rate for 2020 as measured by the consumer price index (CPI) is %. (Enter your response rounded to two decimal places.)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
![### Calculating Inflation Using the Consumer Price Index (CPI)
Consider the simple economy that produces only three products. Use the information in the following table to calculate the (annual rate of) inflation for 2020 as measured by the consumer price index (CPI).
#### Table: Product Prices and Quantities
| Product | Quantity | BASE YEAR (2010) Price | 2019 Price | 2020 Price |
|------------|----------|------------------------|------------|------------|
| Haircuts | 3 | $10.00 | $11.00 | $16.20 |
| Hamburgers | 11 | $2.00 | $2.45 | $2.40 |
| Movies | 5 | $15.00 | $15.00 | $14.00 |
Using the information in the table, the CPI for 2019, with 2010 as the base year, is **[Box]**. (Enter your response rounded to one decimal place.)
The inflation rate for 2020 as measured by the consumer price index (CPI) is **[Box]**%. (Enter your response rounded to two decimal places.)
#### Explanation of How to Calculate CPI and Inflation Rate:
To calculate the Consumer Price Index for 2019 and 2020:
1. **CPI Formula:**
\[
CPI = \left(\frac{\text{Total Cost of Basket in Current Year}}{\text{Total Cost of Basket in Base Year}}\right) \times 100
\]
2. **Total Cost of Basket Calculation:**
Calculate the total cost of the basket of goods for each year (multiply the quantity of each product by its price in that year and sum the results).
- **Base Year (2010) Total Cost:**
\[
\text{Total} = (3 \times 10) + (11 \times 2) + (5 \times 15) = 30 + 22 + 75 = 127
\]
- **2019 Total Cost:**
\[
\text{Total} = (3 \times 11) + (11 \times 2.45) + (5 \times 15) = 33 + 26.95 + 75 = 134.95
\]
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27bc84e6-8eeb-47b0-84b6-2af3688c3671%2F5044edca-65bd-4703-9fcc-12f338b6c879%2Fvf5pezq_processed.png&w=3840&q=75)
Transcribed Image Text:### Calculating Inflation Using the Consumer Price Index (CPI)
Consider the simple economy that produces only three products. Use the information in the following table to calculate the (annual rate of) inflation for 2020 as measured by the consumer price index (CPI).
#### Table: Product Prices and Quantities
| Product | Quantity | BASE YEAR (2010) Price | 2019 Price | 2020 Price |
|------------|----------|------------------------|------------|------------|
| Haircuts | 3 | $10.00 | $11.00 | $16.20 |
| Hamburgers | 11 | $2.00 | $2.45 | $2.40 |
| Movies | 5 | $15.00 | $15.00 | $14.00 |
Using the information in the table, the CPI for 2019, with 2010 as the base year, is **[Box]**. (Enter your response rounded to one decimal place.)
The inflation rate for 2020 as measured by the consumer price index (CPI) is **[Box]**%. (Enter your response rounded to two decimal places.)
#### Explanation of How to Calculate CPI and Inflation Rate:
To calculate the Consumer Price Index for 2019 and 2020:
1. **CPI Formula:**
\[
CPI = \left(\frac{\text{Total Cost of Basket in Current Year}}{\text{Total Cost of Basket in Base Year}}\right) \times 100
\]
2. **Total Cost of Basket Calculation:**
Calculate the total cost of the basket of goods for each year (multiply the quantity of each product by its price in that year and sum the results).
- **Base Year (2010) Total Cost:**
\[
\text{Total} = (3 \times 10) + (11 \times 2) + (5 \times 15) = 30 + 22 + 75 = 127
\]
- **2019 Total Cost:**
\[
\text{Total} = (3 \times 11) + (11 \times 2.45) + (5 \times 15) = 33 + 26.95 + 75 = 134.95
\]
-
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 9 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.Recommended textbooks for you
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![ENGR.ECONOMIC ANALYSIS](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9780190931919/9780190931919_smallCoverImage.gif)
![Principles of Economics (12th Edition)](https://www.bartleby.com/isbn_cover_images/9780134078779/9780134078779_smallCoverImage.gif)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
![Engineering Economy (17th Edition)](https://www.bartleby.com/isbn_cover_images/9780134870069/9780134870069_smallCoverImage.gif)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
![Principles of Economics (MindTap Course List)](https://www.bartleby.com/isbn_cover_images/9781305585126/9781305585126_smallCoverImage.gif)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
![Managerial Economics: A Problem Solving Approach](https://www.bartleby.com/isbn_cover_images/9781337106665/9781337106665_smallCoverImage.gif)
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
![Managerial Economics & Business Strategy (Mcgraw-…](https://www.bartleby.com/isbn_cover_images/9781259290619/9781259290619_smallCoverImage.gif)
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education