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Table 24-7. The table below applies to economy with two roods -hamburgers and hot dors. The fixed basket consists of 4 hambur
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Answer #1

The fixed basket contains 4 hamburgers and 8 hot dogs.

Calculate the value of fixed basket in 2009 -

Value = [Number of hamburgers * price of hamburgers in 2009] + [Number of hot dogs * Price of hotdogs in 2009]

Value = [4 * $5] + [8 * $3]

Value = $20 + $24

Value = $44

The value of fixed basket in 2009 was $44.

Calculate the value of fixed basket in 2010 -

Value = [Number of hamburgers * price of hamburgers in 2010] + [Number of hot dogs * Price of hotdogs in 2010]

Value = [4 * $5.50] + [8 * $3.30]

Value = $22 + $26.4

Value = $48.4

The value of fixed basket in 2010 was $48.4.

Calculate the value of fixed basket in 2011 -

Value = [Number of hamburgers * price of hamburgers in 2011] + [Number of hot dogs * Price of hotdogs in 2011]

Value = [4 * $5.61] + [8 * $3.63]

Value = $22.44 + $29.04

Value = $51.48

The value of fixed basket in 2011 was $51.48.

The base year is 2009.

CPI in base year is always 100.

So, the CPI in 2009 was 100.

Calculate the CPI in 2010 -

CPI = [Value of fixed basket in 2010/Value of fixed basket in 2009] * 100

CPI = [$48.4/$44] * 100

CPI = 110

The CPI in 2010 was 110.

Calculate the CPI in 2011 -

CPI = [Value of fixed basket in 2011/Value of fixed basket in 2009] * 100

CPI = [$51.48/$44] * 100

CPI = 117

The CPI in 2011 was 117.

Calculate the inflation rate in 2010 -

Inflation rate = [(CPI in 2010 - CPI in 2009)/CPI in 2009] * 100

Inflation rate = [(110 - 100)/100] * 100 = 10%

The inflation rate in 2010 was 10%.

Calculate the inflation rate in 2011 -

Inflation rate = [(CPI in 2011 - CPI in 2010)/CPI in 2010] * 100

Inflation rate = [(117 - 110)/110] * 100 = 10%

The inflation rate in 2011 was 6.36%.

Hence, the correct answer is the option (a).

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