VIPSolutionsGive step-by-step solution with explanation and final answer: Buying and selling textbooks are two separate decisions made at the margin. Textbooks create value both when they are bought and when they are sold. Think about your decision to buy the textbook for this course. You paid $225 for the book, but you would have been willing to pay $400 to use the book for the semester. Suppose that at the end of the semester you could keep your textbook or sell it back to the bookstore. Once you have completed the course, the book is worth only $70 to you. The bookstore will pay you 50% of the original $225. How much total value have you gained? $
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Give step-by-step solution with explanation and final answer: Buying and selling textbooks are two separate decisions made at the margin. Textbooks create value both when they are bought and when they are sold. Think about your decision to buy the textbook for this course. You paid $225 for the book, but you would have been willing to pay $400 to use the book for the semester. Suppose that at the end of the semester you could keep your textbook or sell it back to the bookstore. Once you have completed the course, the book is worth only $70 to you. The bookstore will pay you 50% of the original $225. How much total value have you gained? $
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Asked by: naveen kumae
Created at: 2026-01-25 08:52:10
Asked by: naveen kumae
Created at: 2026-01-25 08:52:10
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# Step-by-Step Solution
Let's analyze the situation in two distinct decisions:
## 1. **Buying the Textbook**
- **Willingness to pay:** $400
- **Actual price paid:** $225
**Consumer surplus when buying:**
\[
\text{Consumer Surplus} = \text{Willingness to Pay} - \text{Price Paid} = 400 - 225 = \$175
\]
## 2. **Selling the Textbook**
- **Value to you after the course:** $70
- **Bookstore buyback price:** 50% of $225 = \$112.50
You will sell the book if the buyback price ($112.50) is greater than your value ($70).
**Surplus from selling:**
\[
\text{Surplus from Selling} = \text{Amount Received} - \text{Value to You} = 112.50 - 70 = \$42.50
\]
## 3. **Total Value Gained**
Add the value gained from both buying and selling:
\[
\text{Total Value Gained} = \text{Surplus from Buying} + \text{Surplus from Selling} = 175 + 42.5 = \$217.50
\]
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# **Final Answer**
**The total value you have gained is \(\boxed{\$217.50}\).**
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