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Chapter 3: Problem 31

What would it mean if the total output figure for a particular sector of an input-output table were equal to the sum of the figures in the row for that sector?

Short Answer

Expert verified
In an input-output table, if the total output figure for a particular sector is equal to the sum of the figures in the row for that sector (\(\text{Total output} = \sum_{i=1}^n \text{Row Value}_i\)), it indicates that the entire output produced by that sector is being used as intermediate inputs in other sectors, with no portion of its output being part of the final demand (consumed by households, government, or used for investments and net exports).

Step by step solution

01

Define Input-Output Table

An input-output table is a representation of the interdependence between different sectors of the economy. It shows how the output of one sector is used as input in another sector, and how the value of goods and services flow between the various sectors. Each cell in the table indicates the input from one sector to another, while the row totals represent the total output of that sector and the column totals represent the total input from other sectors to the sector being considered.
02

Identify the Condition

We are given a condition where the total output figure (row total) for a particular sector equals the sum of the figures in the row for that sector. [Mathematically: \(\text{Total output} = \sum_{i=1}^n \text{Row Value}_i\) ]
03

Analyze the Condition

If the total output figure for a sector is equal to the sum of the figures in the row for that sector, it implies that the entire output produced by that sector is being used as intermediate inputs in other sectors. This means that there is no portion of the output of the sector that is considered as final demand, or consumed by households, government, or used for investments and net exports.
04

Draw Conclusion

When the total output figure for a particular sector of an input-output table is equal to the sum of the figures in the row for that sector, it signifies that the entire output produced by that sector is being used as an intermediate good or service in the production process of other sectors within the economy, with none of its output being part of the final demand.

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