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To solve this problem, we need to calculate the **consumer surplus** using the demand function provided:

The demand function is given as:
\[
Q_d = 300 - 0.25P
\]
Where:
- $ Q_d $ = number of tickets sold
- $ P $ = price per ticket

The consumer surplus (CS) is the area of the triangle between the demand curve and the price the consumers actually pay. To find this, we need to compute the following:

1. **Maximum willingness to pay** (i.e., the price where $ Q_d = 0 $):
   Set $ Q_d = 0 $ in the demand equation:
   \[
   0 = 300 - 0.25P
   \]
   Solving for $ P $:
   \[
   P = \frac{300}{0.25} = 1200
   \]
   This is the price where no one would buy a ticket.

2. **Quantity demanded at the given price** ($60):
   Plug $ P = 60 $ into the demand function:
   \[
   Q_d = 300 - 0.25(60) = 300 - 15 = 285
   \]
   So, 285 tickets are sold at $60.

3. **Consumer surplus**:
   The formula for consumer surplus is:
   \[
   CS = \frac{1}{2} \times \text{Base} \times \text{Height}
   \]
   - The **base** is the quantity sold at the given price, $ Q_d = 285 $.
   - The **height** is the difference between the maximum willingness to pay ($1200) and the actual price ($60):
     \[
     \text{Height} = 1200 - 60 = 1140
     \]

   Now calculate the consumer surplus:
   \[
   CS = \frac{1}{2} \times 285 \times 1140 = 162,450
   \]

Thus, the consumer surplus is **$162,450**, so the correct answer is the second option.

---

Would you like further details on this calculation or have any questions? Here are five related questions you might find helpful:

1. What is the importance of consumer surplus in economics?
2. How does the price elasticity of demand affect consumer surplus?
3. What other methods are used to estimate consumer surplus besides this triangle formula?
4. How would the consumer surplus change if the price were higher than $60?
5. Can producer surplus be calculated using a similar method?

**Tip:** Understanding consumer surplus can help identify how changes in prices affect consumer satisfaction.

Suppose a traveling carnival has calculated its demand as: Qd = 300 - (0.25)P, where Qd = # of tickets sold at the gate and P = price per entrance ticket. What will be the size of consumer surplus if the park charges $60 per entry ticket?

This problem calculates the consumer surplus based on the demand function Qd = 300 - 0.25P for a traveling carnival when the ticket price is $60. The solution covers important concepts like consumer surplus, demand function, and price elasticity, ideal for college-level economics students.

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