https://file.aiquickdraw.com/mathbot/file/17301683235516q4lk474.jpg

Let's go through each part of this problem.

### Step 1: Calculate Physical Capital per Worker for 2033

1. **Physical Capital per Worker (2032)**:
   \[
   \text{Physical Capital per Worker (2032)} = \frac{\text{Physical Capital}}{\text{Labor Force}} = \frac{300 \text{ servers}}{100 \text{ workers}} = 3 \text{ servers per worker}
   \]

2. **Physical Capital per Worker (2033)**:
   \[
   \text{Physical Capital per Worker (2033)} = \frac{480 \text{ servers}}{120 \text{ workers}} = 4 \text{ servers per worker}
   \]

### Step 2: Calculate Labor Productivity for Both Years

Labor productivity is defined as the output per hour of labor.

1. **Labor Productivity (2032)**:
   \[
   \text{Labor Productivity (2032)} = \frac{\text{Output}}{\text{Labor Hours}} = \frac{45,000 \text{ TB}}{5,000 \text{ hours}} = 9 \text{ TB per hour of labor}
   \]

2. **Labor Productivity (2033)**:
   \[
   \text{Labor Productivity (2033)} = \frac{\text{Output}}{\text{Labor Hours}} = \frac{50,400 \text{ TB}}{4,200 \text{ hours}} = 12 \text{ TB per hour of labor}
   \]

### Step 3: Analyze the Impact

The increase in **physical capital per worker** from 3 to 4 servers is associated with an increase in **labor productivity** from 9 to 12 TB per hour.

### Step 4: Policy Implications

For the question on policies that would lead to greater productivity in the cloud computing industry:
- **Offering free public education** would likely improve productivity by enhancing worker skills.
- **Subsidizing research and development** would also increase productivity by promoting technological advancements.
- **Imposing a tax on servers** could potentially decrease productivity, as it may discourage investment in physical capital.
- **Increasing student loan interest rates** could reduce productivity, as it might deter people from pursuing higher education.

Would you like more details on any specific part of the solution?

---

Here are some related questions:
1. How does an increase in physical capital typically affect labor productivity?
2. What other factors could contribute to an increase in labor productivity besides physical capital?
3. How might imposing a tax on servers affect a small island economy differently than a larger economy?
4. What are potential long-term effects of subsidizing research in cloud computing?
5. How would raising student loan interest rates impact labor force quality in the tech industry?

**Tip:** In economics, labor productivity improvements are often associated with increases in either physical capital or technological advancements.

Calculate the physical capital per worker, labor productivity, and determine the impact of various economic policies on productivity in the cloud computing industry based on the given data for 2032 and 2033.

This problem involves calculating physical capital per worker and labor productivity for 2032 and 2033, and analyzing economic policies affecting productivity in the cloud computing industry. The data includes physical capital, labor force, output, and labor hours.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation