Question

By using the data in the table below, calculate for 2005 with 2002 as base year:


2012 2015
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 the value of D.

Answer 1

To calculate \( D \) (which corresponds to the total value of \( p_1 q_1 \)), we first need to compute \( p_1 q_1 \) for each product and then sum these values.

The given data is as follows:

- **Product I**
- \( p_1 = 70 \)
- \( q_1 = 40 \)

\[ p_1 q_1 = 70 \times 40 = 2800 \]

- **Product II**
- \( p_1 = 40 \)
- \( q_1 = 40 \)

\[ p_1 q_1 = 40 \times 40 = 1600 \]

- **Product III**
- \( p_1 = 30 \)
- \( q_1 = 40 \)

\[ p_1 q_1 = 30 \times 40 = 1200 \]

Now, let's calculate the total \( D \):

\[
D = (p_1 q_1 \text{ for Product I}) + (p_1 q_1 \text{ for Product II}) + (p_1 q_1 \text{ for Product III})
\]
\[
D = 2800 + 1600 + 1200
\]
\[
D = 5600
\]

Therefore, the value of \( D \) is \( \boxed{5600} \).