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emmainna [20.7K]
3 years ago
9

The Bureau of Labor Statistics has found that the base-year expenditures of the typical consumer break down as follows:

Business
1 answer:
Shkiper50 [21]3 years ago
8 0

Answer:

  • <em><u>The CPI for the current year is    104.49   </u></em>

<em><u /></em>

Explanation:

A) Expenditure breakdown of the base year:

You must check that they add 100%

  • Food and beverages:               17.8%
  • Housing:                                   42.8%
  • Apparel and upkeep:                 6.3%
  • Transportation:                          17.2%
  • Medical care:                               5.7%
  • Entertainment:                              4.4%
  • Other goods, and services:       5.8%
  • Total                                          100.0%

Total: 17.8 + 42.8 + 6.3 + 17.2 + 5.7 + 4.4 + 5.8 = 100

Thus, the CPI of the base year is 100.

<u>B. Expenditure breakdown of the current year.</u>

Calculate the changes by adding the percent of increase to each item tha has changed.

1. <u>The prices of food and beverages have increased by 10 percent</u>:

  • 17.8% × 1.10 = 19.58%

2.<u> The price of housing has increased by 5 percent</u>:

  • 42.8% × 1.05 = 44.94%

3. <u>The price of medical care has increased by 10 percent</u>:

  • 5.7% × 1.10 = 6.27%

The other prices are unchanged.

Then, the new breakdown is:

  • Food and beverages:               19.58%
  • Housing:                                   44.94%
  • Apparel and upkeep:                 6.3%
  • Transportation:                          17.2%
  • Medical care:                              6.27%
  • Entertainment:                              4.4%
  • Other goods, and services:        5.8%
  • Total                                           104.49%

Of course the new total is not 100%.

  • 19.58 + 44.94 + 6.3 + 17.2 + 6.27 + 4.4 + 5.8 = 104.49

That means that the price of the total basket of products has increased from 100 to 104.49.

Thus, <u>the CPI of the current year is 104.49 ← answer</u>

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