The average prices and quantities of seven items sold in Meru County are shown in the following table:   2019 2020   Price (Kshs/Kg) Quantity (Kg,000) Price (Kshs/Kg) Quantity (Kg,000) Pineapples 50 15 60 18 Oranges 40 30 85 35 Bananas 60 20 75 25 Beans 30 80 50 70 Wheat 40 60 60 65 Millet 70 20 90 40 Peas 30 60 40 100   a.                Using 2019 as base year, compute Laspeyre’s, Paasche’s, Kelly’s, and Fishers Price index numbers for 2020. Comment on the results. b.               Demonstrate that the computed Fisher’s ideal price index number satisfies both time reversal and f

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The average prices and quantities of seven items sold in Meru County are shown in the following table:

 

2019

2020

 

Price (Kshs/Kg)

Quantity (Kg,000)

Price (Kshs/Kg)

Quantity (Kg,000)

Pineapples

50

15

60

18

Oranges

40

30

85

35

Bananas

60

20

75

25

Beans

30

80

50

70

Wheat

40

60

60

65

Millet

70

20

90

40

Peas

30

60

40

100

 

a.                Using 2019 as base year, compute Laspeyre’s, Paasche’s, Kelly’s, and Fishers Price index numbers for 2020. Comment on the results.

b.               Demonstrate that the computed Fisher’s ideal price index number satisfies both time reversal and factor reversal tests.

 

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