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-

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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.
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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