The demand for yams is given by q = 5500 – 1lp², where 4 is in pounds of yams and P is the price of a pound of yams. %3D (a) If the current price of yams is $2 per pound, how many pounds will be sold? q = pounds (b) Is the demand at 2 elastic or inelastic? Is it more accurate to say "People want yams and will buy them no matter what the price", or "Yams are a luxury item a people will stop buying them if the price gets too high"? The demand is Therefore, it would be more accurate to say People want yams and will buy them no matter what the price.

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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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## Chapter 4, Section 4.6, Question 012

### Demand Function for Yams

The demand for yams is given by the equation:
\[ q = 5500 - 11p^2 \]
where:
- \( q \) is the quantity demanded (in pounds)
- \( p \) is the price per pound of yams

### Part (a)
**If the current price of yams is \( \$2 \) per pound, how many pounds will be sold?**

\[ q = \ \_\_\_\_\_\_ \text{ pounds} \]

### Part (b)
**Is the demand at \( \$2 \) elastic or inelastic? Is it more accurate to say:**
1. "People want yams and will buy them no matter what the price."
2. "Yams are a luxury item and people will stop buying them if the price gets too high."

The demand is \_\_\_\_\_\_\_. Therefore, it would be more accurate to say: \_\_\_\_\_\_\_.

### Hint
By clicking on the "SHOW HINT" button, students can get further assistance in solving the question.

**Drop-down options for the explanation of the demand nature:**
- Elastic
- Inelastic

**Detailed Guide:**
1. **Calculate the Quantity Demanded at \( \$2 \):**
   - Substitute \( p = 2 \) into the demand equation.
   - Compute \( q \) accordingly.

2. **Determine the Elasticity:**
   - Analyze the responsiveness of the quantity demanded to changes in the price.
   - Use economic principles to determine whether the demand is elastic (sensitive to price changes) or inelastic (insensitive to price changes).

By understanding and applying these concepts, students can correctly interpret the demand function, calculate specific values, and analyze the nature of demand for yams based on given prices.
Transcribed Image Text:## Chapter 4, Section 4.6, Question 012 ### Demand Function for Yams The demand for yams is given by the equation: \[ q = 5500 - 11p^2 \] where: - \( q \) is the quantity demanded (in pounds) - \( p \) is the price per pound of yams ### Part (a) **If the current price of yams is \( \$2 \) per pound, how many pounds will be sold?** \[ q = \ \_\_\_\_\_\_ \text{ pounds} \] ### Part (b) **Is the demand at \( \$2 \) elastic or inelastic? Is it more accurate to say:** 1. "People want yams and will buy them no matter what the price." 2. "Yams are a luxury item and people will stop buying them if the price gets too high." The demand is \_\_\_\_\_\_\_. Therefore, it would be more accurate to say: \_\_\_\_\_\_\_. ### Hint By clicking on the "SHOW HINT" button, students can get further assistance in solving the question. **Drop-down options for the explanation of the demand nature:** - Elastic - Inelastic **Detailed Guide:** 1. **Calculate the Quantity Demanded at \( \$2 \):** - Substitute \( p = 2 \) into the demand equation. - Compute \( q \) accordingly. 2. **Determine the Elasticity:** - Analyze the responsiveness of the quantity demanded to changes in the price. - Use economic principles to determine whether the demand is elastic (sensitive to price changes) or inelastic (insensitive to price changes). By understanding and applying these concepts, students can correctly interpret the demand function, calculate specific values, and analyze the nature of demand for yams based on given prices.
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