Question

In: Economics

The residents of nnn spend all of their income on cauliflower, broccoli, and carrots. In 2020,...

The residents of nnn spend all of their income on cauliflower, broccoli, and carrots. In 2020, they spend a total of $250 for 100 heads of cauliflower, $100 for 50 bunches of broccoli, and $250 for 500 carrots. In 2021, they spend a total of $210 for 60 heads of cauliflower, $180 for 90 bunches of broccoli, and $270 for 450 carrots.

Complete the following table by calculating the price of one unit of each vegetable in each year.

Year

Cauliflower

Broccoli

Carrots
2020
2021

Using 2020 as the base year, the CPI for 2020 is   , and the CPI for 2021 is   .

The inflation rate in 2021 is    % using the CPI.

Solutions

Expert Solution

Price of unit of each vegetable

Year

Cauliflower

Broccoli

Carrots

2020

$2.50

$2

$0.50

2021

$3.50

$2

$0.60

Explanation:

Price of One Unit of Good= Total Spending / Total Quantity

In 2020,

They spend a total of $250 for 100 heads of cauliflower

Price of One Unit of Cauliflower = 250/100=$2.50 per unit

$100 for 50 bunches of broccolis,

Price of One Unit of Broccoli =100/50=$2 per unit

$250 for 500 carrots

Price of One Unit of carrot =250/500=$0.50 per unit

In 2021,

They spend a total of $210 for 60 heads of cauliflower

Price of One Unit of Cauliflower=210/60=$3.50 per unit

$180 for 90 bunches of broccolis,

Price of One Unit of Broccoli =180/90=$2 per unit

$270 for 450 carrots

Price of One Unit of carrot =270/450=$0.60 per unit

---------------------------------------------------------------------------------------------

CPI Calculation:

Given: 2020 is the base year

So the CPI for 2020 is 100

(The CPI for base year is always 100 as it is used as benchmark in the calculation of CPI)

CPI for 2021:

Current year price = 210 + 180 + 270 = 660

Base year price = 250 + 100 + 250 = 600

CPI for 2021 = 110

---------------------------------------------------------------------------------------------

Inflation rate = 10%

Rahul Sunny answered 1 year ago
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