Suppose an economy has only two sectors: Goods and Services. Each year, Goods sells 75% of its outputs to Services and keeps the rest, while Services sells 72% of its output to Goods and retains the rest. Find equilibrium prices for the annual outputs of the Goods and Services sectors that make each sector's income match its expenditures. -0.75 0.25 Goods Services 0.28 0.72-
Suppose an economy has only two sectors: Goods and Services. Each year, Goods sells 75% of its outputs to Services and keeps the rest, while Services sells 72% of its output to Goods and retains the rest. Find equilibrium prices for the annual outputs of the Goods and Services sectors that make each sector's income match its expenditures. -0.75 0.25 Goods Services 0.28 0.72-
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![### Example Problem: Equilibrium Prices in a Two-Sector Economy
**Suppose an economy has only two sectors: Goods and Services. Each year, Goods sells 75% of its outputs to Services and keeps the rest, while Services sells 72% of its output to Goods and retains the rest. Find equilibrium prices for the annual outputs of the Goods and Services sectors that make each sector’s income match its expenditures.**
#### Explanation:
To solve this problem, we need to set up a balance equation where the expenditure of each sector equates to its income.
#### Diagram Explanation:
The given diagram is a flow chart showing the relationships and transactions between two sectors, Goods and Services:
- Goods sector:
- Sells 75% of its output to the Services sector.
- Retains 25% of its output.
- Services sector:
- Sells 72% of its output to the Goods sector.
- Retains 28% of its output.
The transactions denoted in the diagram can be interpreted as follows:
- From Goods to Services: 75% (0.75)
- From Services to Goods: 72% (0.72)
These output percentages indicate the proportion of output sold from one sector to another and the proportion retained within each sector.
Using these relationships, we can form a system of linear equations to find the equilibrium prices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F13b3ce4d-7939-40c7-a8c2-01af91160cea%2Fe46d5d1d-00c4-43a9-b7c3-3139614d7f71%2Fliarjfr_processed.png&w=3840&q=75)
Transcribed Image Text:### Example Problem: Equilibrium Prices in a Two-Sector Economy
**Suppose an economy has only two sectors: Goods and Services. Each year, Goods sells 75% of its outputs to Services and keeps the rest, while Services sells 72% of its output to Goods and retains the rest. Find equilibrium prices for the annual outputs of the Goods and Services sectors that make each sector’s income match its expenditures.**
#### Explanation:
To solve this problem, we need to set up a balance equation where the expenditure of each sector equates to its income.
#### Diagram Explanation:
The given diagram is a flow chart showing the relationships and transactions between two sectors, Goods and Services:
- Goods sector:
- Sells 75% of its output to the Services sector.
- Retains 25% of its output.
- Services sector:
- Sells 72% of its output to the Goods sector.
- Retains 28% of its output.
The transactions denoted in the diagram can be interpreted as follows:
- From Goods to Services: 75% (0.75)
- From Services to Goods: 72% (0.72)
These output percentages indicate the proportion of output sold from one sector to another and the proportion retained within each sector.
Using these relationships, we can form a system of linear equations to find the equilibrium prices.
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