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### Key data from the table:
1. **Prices and Quantity Demanded**:
   - $2.00 per can → 30 cans demanded
   - $1.75 per can → 40 cans demanded
   - $1.50 per can → 50 cans demanded
   - $1.25 per can → 60 cans demanded
   - $1.00 per can → 70 cans demanded
   - $0.75 per can → 80 cans demanded
   - $0.50 per can → 90 cans demanded
   - $0.25 per can → 100 cans demanded

2. **Marginal Cost (MC)** is constant and equal to **$0.50**.

#### Part A: Perfectly Competitive Market
In a perfectly competitive market, the price equals the marginal cost (MC). Since the marginal cost is **$0.50**, the price students will pay is **$0.50 per can**.

#### Part B: Monopolized Market
For a monopolized market, we need to calculate the marginal revenue (MR) and find where marginal revenue equals marginal cost (MR = MC). 

**Step 1: Total Revenue Calculation**:
Total Revenue (TR) = Price × Quantity

| Price ($/can) | Quantity Demanded | Total Revenue (TR) |
|---------------|-------------------|--------------------|
| 2.00          | 30                | $60                |
| 1.75          | 40                | $70                |
| 1.50          | 50                | $75                |
| 1.25          | 60                | $75                |
| 1.00          | 70                | $70                |
| 0.75          | 80                | $60                |
| 0.50          | 90                | $45                |
| 0.25          | 100               | $25                |

**Step 2: Marginal Revenue Calculation**:
Marginal Revenue (MR) is the change in total revenue as the quantity increases.

| Price ($/can) | Quantity Demanded | Total Revenue (TR) | Marginal Revenue (MR) |
|---------------|-------------------|--------------------|-----------------------|
| 2.00          | 30                | 60                 | --                    |
| 1.75          | 40                | 70                 | 10                    |
| 1.50          | 50                | 75                 | 5                     |
| 1.25          | 60                | 75                 | 0                     |
| 1.00          | 70                | 70                 | -5                    |
| 0.75          | 80                | 60                 | -10                   |
| 0.50          | 90                | 45                 | -15                   |
| 0.25          | 100               | 25                 | -20                   |

**Step 3: Find where MR = MC**:
- MC is $0.50. From the table, we see that MR equals **$0** when the price is **$1.25 per can**.

Therefore, in a monopolized market, the price that students will pay is **$1.25 per can**.

### Summary:
- **Perfectly competitive market price**: $0.50 per can.
- **Monopolized market price**: $1.25 per can.

Let me know if you need more details or explanations!

### Questions for deeper understanding:
1. How is total revenue related to the demand curve?
2. What happens to marginal revenue as quantity increases in a monopolized market?
3. Why does price equal marginal cost in a perfectly competitive market?
4. How would the market price change if the marginal cost increased?
5. What are the welfare implications of a monopolized market compared to a competitive market?

### Tip:
In monopolies, marginal revenue always lies below the demand curve because a monopolist must lower the price to sell more units.

If the marginal cost of supplying a soda is constant and equal to $0.50, what price will students end up paying in:
1. A perfectly competitive market?
2. A monopolized market?

Learn how to calculate market prices in both perfectly competitive and monopolized markets when the marginal cost of supplying a soda is constant at $0.50. Understand the relationship between marginal cost, marginal revenue, and pricing strategies in different market structures.

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