1. **Authorized shares: 34,000**

**Issued shares: 29,000**

**Treasury shares: 10,500**

The number of outstanding shares is:

- **Answer:** 2. 18,500

2. **Authorized shares: 20,000**

**Issued shares: 15,000**

**Treasury shares: 3,000**

The number of outstanding shares is:

- **Answer:** 12,000

3. **Authorized shares: 22,000**

**Issued shares: 17,000**

**Treasury shares: 4,000**

The number of outstanding shares is:

- **Answer:** 2. 13,000

4. **Authorized shares: 31,000**

**Issued shares: 26,000**

**Treasury shares: 9,000**

The number of outstanding shares is:

- **Answer:** 17,000

5. **Authorized shares: 60,000**

**Issued shares: 50,000**

**Treasury shares: 12,000**

The number of outstanding shares is:

- **Answer:** 38,000

6. **Authorized shares: 40,000**

**Issued shares: 32,000**

**Treasury shares: 8,000**

The number of outstanding shares is:

- **Answer:** 24,000

### Common Method to Solve These Problems

1. **Identify the Given Values:**

- Authorized shares

- Issued shares

- Treasury shares

2. **Understand the Relationships:**

- **Authorized shares**: The maximum number of shares the corporation can issue.

- **Issued shares**: The total number of shares that have been issued, including those in the treasury.

- **Treasury shares**: The shares that were issued but have been reacquired by the corporation.

3. **Calculate Outstanding Shares:**

Use the formula:

\[\text { Outstanding Shares} = \text { Issued Shares} - \text { Treasury Shares} \]

4. **Perform the Calculation:**

- Subtract the number of treasury shares from the issued shares to find the outstanding shares.

### Example Calculation:

Given:

- Issued shares = 29,000

- Treasury shares = 10,500

Calculation:

\[\text { Outstanding Shares} = 29,000 - 10,500 = 18,500\]

### Additional Knowledge:

**Key Terms:**

- **Authorized Shares:** The total number of shares a company is permitted to issue according to its corporate charter.

- **Issued Shares:** Shares that have been allocated and are currently held by shareholders, including the company itself (treasury shares).

- **Treasury Shares:** Shares that were issued but have been bought back by the company. These shares are not considered when calculating dividends or voting rights.

- **Outstanding Shares:** The shares currently held by all shareholders, excluding treasury shares. This number is crucial for financial metrics like Earnings Per Share (EPS).

**Significance of Outstanding Shares:**

- **Earnings Per Share (EPS):** EPS is calculated as net income divided by the number of outstanding shares. This is an important criterion to view any company's profitability.

- **Market Capitalization:** This is the value obtained by multiplying the stock price by the outstanding shares. It gives an idea of the overall worth of the company in the market in terms of equity.

** Voting Rights and Dividends:** Only outstanding shares have voting rights in shareholder meetings and are eligible for dividends.

**Practical Usage:**

- The number of outstanding shares helps investors and analysts gauge a company's worth compared with others and make sound investment judgments.

- Companies monitor the outstanding shares to manage the equity structure, dilution control, and optimization of capital allocation strategies.