Question
By using the data in the table below, calculate for 2005 with 2002 as base year:
2002 2005
Product p0 q0 p1 q1 p1q0 p0q0 p1q1 p0q1
I 60 50 70 40
II 50 20 40 40
III 30 30 30 40
Total A B C D E F
Find Paasche quantity index for 2005 with 2002 as base.
2002 2005
Product p0 q0 p1 q1 p1q0 p0q0 p1q1 p0q1
I 60 50 70 40
II 50 20 40 40
III 30 30 30 40
Total A B C D E F
Find Paasche quantity index for 2005 with 2002 as base.
Answers
GPT 3.5
To calculate the Paasche quantity index for 2005 with 2002 as the base year, we can use the formula:
Paasche Quantity Index = (Σ(p1q1) / Σ(p0q1)) * 100
First, we calculate the values of p1q1, p0q1:
For Product I:
p1q1 = 70 * 40 = 2800
p0q1 = 60 * 50 = 3000
For Product II:
p1q1 = 40 * 40 = 1600
p0q1 = 50 * 20 = 1000
For Product III:
p1q1 = 30 * 40 = 1200
p0q1 = 30 * 30 = 900
Now, we sum up the values of p1q1 and p0q1:
Σ(p1q1) = 2800 + 1600 + 1200 = 5600
Σ(p0q1) = 3000 + 1000 + 900 = 4900
Plugging these values into the formula:
Paasche Quantity Index = (5600 / 4900) * 100
Paasche Quantity Index = 114.29
Therefore, the Paasche quantity index for 2005 with 2002 as the base year is 114.29.
Paasche Quantity Index = (Σ(p1q1) / Σ(p0q1)) * 100
First, we calculate the values of p1q1, p0q1:
For Product I:
p1q1 = 70 * 40 = 2800
p0q1 = 60 * 50 = 3000
For Product II:
p1q1 = 40 * 40 = 1600
p0q1 = 50 * 20 = 1000
For Product III:
p1q1 = 30 * 40 = 1200
p0q1 = 30 * 30 = 900
Now, we sum up the values of p1q1 and p0q1:
Σ(p1q1) = 2800 + 1600 + 1200 = 5600
Σ(p0q1) = 3000 + 1000 + 900 = 4900
Plugging these values into the formula:
Paasche Quantity Index = (5600 / 4900) * 100
Paasche Quantity Index = 114.29
Therefore, the Paasche quantity index for 2005 with 2002 as the base year is 114.29.
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