Question

. The residents of Vegopia spend all of their income on cauliflower, broccoli, and carrots. In 2010, they each buy 100 heads of cauliflower for $200, 50 bunches of broccoli for $75, and 500 carrots for $50. In 2011, they buy 75 heads of cauliflower for $225, 80 bunches of broccoli for $120, and 500 carrots for $100. (a) Calculate the price of each vegetable in each year. (b) Using 2010 as the base year, calculate the CPI for each year. (c) What is the inflation rate in 2011?

Answer 1

a. For 2010 =$325 For 2011 = $445

b. 136.92%

c. 38.89%

Step-by-step explanation:

a. The computation of the price of each vegetable is shown below:

For year 2010:

= Cauliflower price + broccoli price + carrots price

= $200 + $75 + $50

= $325

For year 2011:

= Cauliflower price + broccoli price + carrots price

= $225 + $120 + $100

= $445

b. The computation of CPI is shown below:

= (2011 Price ÷ 2010 Price) × 100

= ($445 ÷ $325) × 100

= 136.92%

c. The inflation rate is shown below:

= (2011 per total vegetables price - 2010 per total vegetables price) ÷ 2010 per total vegetables price

= ($5.00 - $3.60) ÷ $3.60

= 38.89%

Per vegetable price = (Price of each vegetable ÷ number of each vegetable)

For 2010:

Cauliflower = ($200 ÷ 100) = $2

Broccoli = ($75 ÷ 50) = $1.5

Carrots = ($50 ÷ 500) = $0.10

The total would be $3.60

For 2011:

Cauliflower = ($225 ÷ 75) = $3

Broccoli = ($120 ÷ 80) = $1.5

Carrots = ($100 ÷ 500) = $0.50

The total would be $5.00