The residents of Vegopia spend all of their income on cauliflower, broccoli, and carrots. In 2016, they spend a total of $250 for 100 heads of cauliflower, $100 for 50 bunches of broccoli, and $250 for 500 carrots. In 2017, they spend a total of $210 for 60 heads of cauliflower, $180 for 90 bunches of broccoli, and $270 for 450 carrots. Year Cauliflower Broccoli Carrots
2016 2.1 1.4 0.1
2017 2.5 1.4 0.3 Using 2016 as the base year, the CPI for 2016 is, and the CPI for 2017 is. The inflation rate in 2017 isusing the CPI.

CPI for 2016 = 100

CPI for 2017 = 110

Inflation rate in 2017 = 10%

Explanation:

Before finding Consumer Price Index (CPI), we have to calculate the market basket cost price for each year

2016 market basket cost price =

Cauliflower = $250

Broccoli      = $100

Carrots       = $250

Total cost = $600

2017 market basket cost price =

Cauliflower = $210

Broccoli      = $180

Carrots       = $270

Total cost = $660

We know, CPI = (Cost of market basket in a given year ÷ Cost of market basket in a base year) × 100

As 2016 is the base year, CPI for 2016 = ($600 ÷ $600) × 100 = 100

CPI for 2017 = ($660 ÷ $600) × 100 = 100 = 110

Again, we know, Inflation rate using the CPI = [(CPI for current year - CPI for previous year) ÷ CPI for previous year] × 100

Therefore, Inflation rate using the CPI = [(110 - 100) ÷ 100] × 100 = 10%.

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