Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
100%
Compute to three decimal places. (See attached)
Initial values are: PX = $9500 PY = $10000 I = $15000 A = $170000 W = 160
This function is: Qs = 89830 -40PS +20PX +15PY +2I +.001A +10W
![**Elasticity and Demand Analysis for Smooth Sailing Boats**
1. **Advertising Expenditures and Demand Responsiveness**
- **Question (a):** Does this elasticity coefficient indicate that the demand for Smooth Sailing boats is relatively responsive to changes in advertising expenditures? Explain why or why not.
2. **Weather Conditions and Point Elasticity**
- **Question (b):** Weather forecasters emphasize the importance of favorable weather days as a determinant of sailboat sales. Calculate the point elasticity of demand for Smooth Sailing boats, assuming \( P_s = \$9000 \) (thus \( Q_s = 101600 \) boats) and \( W = 160 \). The other variables and their values are provided at the top before question #1. The formula for calculating elasticity is:
\[
E_A = \frac{\partial Q_s}{\partial W} \cdot \frac{W}{Q_s}
\]
3. **Income Changes and Demand Sensitivity**
- **Question (c):** Does this elasticity coefficient indicate that the demand for Smooth Sailing boats is relatively responsive to changes in income? Explain why or why not.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18689286-78bc-47d5-8a3d-145ab24af1f7%2Fb5eba1a7-d2e3-4802-bb2c-5be4a32d7aee%2Fsngt5i_processed.png&w=3840&q=75)
Transcribed Image Text:**Elasticity and Demand Analysis for Smooth Sailing Boats**
1. **Advertising Expenditures and Demand Responsiveness**
- **Question (a):** Does this elasticity coefficient indicate that the demand for Smooth Sailing boats is relatively responsive to changes in advertising expenditures? Explain why or why not.
2. **Weather Conditions and Point Elasticity**
- **Question (b):** Weather forecasters emphasize the importance of favorable weather days as a determinant of sailboat sales. Calculate the point elasticity of demand for Smooth Sailing boats, assuming \( P_s = \$9000 \) (thus \( Q_s = 101600 \) boats) and \( W = 160 \). The other variables and their values are provided at the top before question #1. The formula for calculating elasticity is:
\[
E_A = \frac{\partial Q_s}{\partial W} \cdot \frac{W}{Q_s}
\]
3. **Income Changes and Demand Sensitivity**
- **Question (c):** Does this elasticity coefficient indicate that the demand for Smooth Sailing boats is relatively responsive to changes in income? Explain why or why not.
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