If the maximum price consumers are willing to pay is $50 and the equilibrium price is $30, what is the consumer surplus for 100 units sold?

The consumer surplus is the difference between what consumers are willing to pay and what they actually pay at equilibrium, summed up over the quantity sold. To find the consumer surplus for 100 units sold, we use the formula:

\[
\text{Consumer Surplus} = \frac{1}{2} \times (\text{Maximum Price} - \text{Equilibrium Price}) \times \text{Quantity Sold}
\]

Given:
- Maximum price consumers are willing to pay: $ P_{\text{max}} = 50 $
- Equilibrium price: $ P_{\text{eq}} = 30 $
- Quantity sold: $ Q = 100 $

Substituting these values into the formula:

\[
\text{Consumer Surplus} = \frac{1}{2} \times (50 - 30) \times 100
\]

\[
\text{Consumer Surplus} = \frac{1}{2} \times 20 \times 100
\]

\[
\text{Consumer Surplus} = 10 \times 100
\]

\[
\text{Consumer Surplus} = 1000
\]

Thus, the consumer surplus for 100 units sold is **$1,000**.

Would you like further details on this concept, or do you have any questions?

### Related Questions:
1. How does consumer surplus change if the equilibrium price decreases?
2. What is the impact on consumer surplus if the quantity sold increases to 150 units?
3. How is consumer surplus affected when there is a shift in the demand curve?
4. Can consumer surplus be negative, and if so, what does that imply?
5. How would producer surplus be calculated in a similar situation?

### Tip:
Consumer surplus represents the economic benefit to consumers, as it quantifies the extra satisfaction gained from purchasing a product at a price lower than their maximum willingness to pay.

Learn how to calculate consumer surplus when the maximum price consumers are willing to pay is $50, and the equilibrium price is $30 for 100 units sold. This solution provides a step-by-step explanation, utilizing the consumer surplus formula and economic surplus concepts. Suitable for high school economics students.

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