The diagram shows Sam's budget line. Which of the following combinations of gasoline and coffee are available to Sam?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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The diagram illustrates Sam's budget line for purchasing gasoline and coffee. The budget line represents trade-offs between these two goods, showing what combinations are possible based on Sam's budget.

### Graph Explanation:
- **Axes:** 
  - The vertical axis represents "Gasoline (gallons per week)," ranging from 0 to 40 gallons.
  - The horizontal axis represents "Coffee (pounds per week)," ranging from 0 to 20 pounds.

- **Budget Line:** 
  - The line is downward sloping from 40 gallons of gasoline (when coffee is 0 pounds) to 20 pounds of coffee (when gasoline is 0 gallons).
  - It shows the maximum quantities of gasoline and coffee Sam can purchase within his budget.

- **Data Points:** 
  - Several dots are plotted on the budget line at regular intervals, indicating specific combinations of gasoline and coffee that Sam can afford each week.

### Question:
Which of the following combinations of gasoline and coffee are available to Sam?

#### Options:
- **A.** 40 gallons of gasoline and 0 pounds of coffee.
- **B.** 32 gallons of gasoline and 4 pounds of coffee.
- **C.** 8 gallons of gasoline and 8 pounds of coffee.
- **D.** 16 gallons of gasoline and 16 pounds of coffee.
- **E.** All combinations except (D) are available to Sam.

**Interpretation:** 
The graph suggests that options A, B, and C lie on the budget line, while option D does not. Thus, options A, B, and C are possible purchases within the given budget constraints, confirming that option E is correct.
Transcribed Image Text:The diagram illustrates Sam's budget line for purchasing gasoline and coffee. The budget line represents trade-offs between these two goods, showing what combinations are possible based on Sam's budget. ### Graph Explanation: - **Axes:** - The vertical axis represents "Gasoline (gallons per week)," ranging from 0 to 40 gallons. - The horizontal axis represents "Coffee (pounds per week)," ranging from 0 to 20 pounds. - **Budget Line:** - The line is downward sloping from 40 gallons of gasoline (when coffee is 0 pounds) to 20 pounds of coffee (when gasoline is 0 gallons). - It shows the maximum quantities of gasoline and coffee Sam can purchase within his budget. - **Data Points:** - Several dots are plotted on the budget line at regular intervals, indicating specific combinations of gasoline and coffee that Sam can afford each week. ### Question: Which of the following combinations of gasoline and coffee are available to Sam? #### Options: - **A.** 40 gallons of gasoline and 0 pounds of coffee. - **B.** 32 gallons of gasoline and 4 pounds of coffee. - **C.** 8 gallons of gasoline and 8 pounds of coffee. - **D.** 16 gallons of gasoline and 16 pounds of coffee. - **E.** All combinations except (D) are available to Sam. **Interpretation:** The graph suggests that options A, B, and C lie on the budget line, while option D does not. Thus, options A, B, and C are possible purchases within the given budget constraints, confirming that option E is correct.
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