Country A produces GDP according to the following equation: GDP = 5√K and has a capital stock of 13,399. If the country devotes 13% of its GDP to producing or repairing investment goods, how much is this country currently investing? Rounds your answer to two decimal places.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
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Chapter1: Making Economics Decisions
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**Investment in Country A**

In the educational example provided, Country A produces its Gross Domestic Product (GDP) according to the specific equation: 

\[ \text{GDP} = 5\sqrt{K} \]

where \(\sqrt{K}\) represents the square root of the capital stock. 

Given data:
- Current capital stock, \(K\), is 13,399.
- The country allocates 13% of its GDP to producing or repairing investment goods.

### Problem:
Calculate the amount of investment Country A is currently making, and round the answer to two decimal places.

### Steps to Solve:

1. **Calculate GDP:**

   \[
   \text{GDP} = 5\sqrt{K}
   \]
   
   Substitute \(K = 13,399\):

   \[
   \sqrt{13,399} \approx 115.74 
   \]

   Then,

   \[
   \text{GDP} = 5 \times 115.74 \approx 578.70
   \]

2. **Determine the amount devoted to investment:**

   The country invests 13% of its GDP in producing or repairing investment goods.

   \[
   \text{Investment} = 0.13 \times \text{GDP} 
   \]

   Substituting the calculated GDP:

   \[
   \text{Investment} = 0.13 \times 578.70 \approx 75.23 
   \]

### Conclusion:

Therefore, Country A is currently investing approximately **75.23** units in producing or repairing investment goods. This calculated figure is rounded to two decimal places as required.
Transcribed Image Text:**Investment in Country A** In the educational example provided, Country A produces its Gross Domestic Product (GDP) according to the specific equation: \[ \text{GDP} = 5\sqrt{K} \] where \(\sqrt{K}\) represents the square root of the capital stock. Given data: - Current capital stock, \(K\), is 13,399. - The country allocates 13% of its GDP to producing or repairing investment goods. ### Problem: Calculate the amount of investment Country A is currently making, and round the answer to two decimal places. ### Steps to Solve: 1. **Calculate GDP:** \[ \text{GDP} = 5\sqrt{K} \] Substitute \(K = 13,399\): \[ \sqrt{13,399} \approx 115.74 \] Then, \[ \text{GDP} = 5 \times 115.74 \approx 578.70 \] 2. **Determine the amount devoted to investment:** The country invests 13% of its GDP in producing or repairing investment goods. \[ \text{Investment} = 0.13 \times \text{GDP} \] Substituting the calculated GDP: \[ \text{Investment} = 0.13 \times 578.70 \approx 75.23 \] ### Conclusion: Therefore, Country A is currently investing approximately **75.23** units in producing or repairing investment goods. This calculated figure is rounded to two decimal places as required.
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