The market demand function for four-year private universities is given by the equation: d Q = 84 – 3.1Pr + 0.81 + 0.9Ppuaiwollo 1ons o sq sno mon aulmua to 3o taid where Q is the number of applicants to private universities per year in thousands, P is the average price of private universities (in thousands of USD), I is the household monthly income (in thousands of USD), and Pu is the average price of public (government-supported) uni- versities (in thousands of USD). Assume that Pr is equal to 38, I is equal to 100, and P is equal to 18. pr pr pu h bing nsda odgid od lliw bisq 23. The price elasticity of demand for private universities is closest to: А. -3.1. В. - 1.9. С. 0.6. oing adT

ENGR.ECONOMIC ANALYSIS
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the answer for number 23 would be -1.9 right?

### Market Supply and Demand Analysis

---

#### Question 22
Assume a market supply function is given by the equation:

\[ Q_s = -7 + 0.6P \]

where \( Q_s \) is the quantity supplied and \( P \) is the price. If \( P \) equals 15, the value of the producer surplus is closest to:

- **A.** 3.3
- **B.** 41.0
- **C.** 67.5

---

#### Information for Questions 23 through 25

The market demand function for four-year private universities is given by the equation:

\[ Q^{d}_{pr} = 84 - 3.1P_{pr} + 0.81I + 0.9P_{pu} \]

where \( Q^{d}_{pr} \) is the number of applicants to private universities per year in thousands, \( P_{pr} \) is the average price of private universities (in thousands of USD), \( I \) is the household monthly income (in thousands of USD), and \( P_{pu} \) is the average price of public (government-supported) universities (in thousands of USD). Assume that \( P_{pr} \) is equal to 38, \( I \) is equal to 100, and \( P_{pu} \) is equal to 18.

---

#### Question 23

The price elasticity of demand for private universities is closest to:

- **A.** -3.1
- **B.** -1.9
- **C.** 0.6

---

### Explanation of Concepts

- **Market Supply Function:** This equation describes the relationship between the price and the quantity of a good that producers are willing to supply. The constant term indicates the base level of supply, while the coefficient of \( P \) shows how supply changes with price.

- **Market Demand Function:** This equation captures the factors influencing the demand for a product, showing how various economic variables like price, income, and substitute goods (public university prices) affect the number of applicants to private universities.

- **Price Elasticity of Demand:** This measures the responsiveness of the quantity demanded to a change in price, indicating whether demand is elastic or inelastic.

Understanding these functions and concepts helps in analyzing market dynamics and predicting consumer behavior.
Transcribed Image Text:### Market Supply and Demand Analysis --- #### Question 22 Assume a market supply function is given by the equation: \[ Q_s = -7 + 0.6P \] where \( Q_s \) is the quantity supplied and \( P \) is the price. If \( P \) equals 15, the value of the producer surplus is closest to: - **A.** 3.3 - **B.** 41.0 - **C.** 67.5 --- #### Information for Questions 23 through 25 The market demand function for four-year private universities is given by the equation: \[ Q^{d}_{pr} = 84 - 3.1P_{pr} + 0.81I + 0.9P_{pu} \] where \( Q^{d}_{pr} \) is the number of applicants to private universities per year in thousands, \( P_{pr} \) is the average price of private universities (in thousands of USD), \( I \) is the household monthly income (in thousands of USD), and \( P_{pu} \) is the average price of public (government-supported) universities (in thousands of USD). Assume that \( P_{pr} \) is equal to 38, \( I \) is equal to 100, and \( P_{pu} \) is equal to 18. --- #### Question 23 The price elasticity of demand for private universities is closest to: - **A.** -3.1 - **B.** -1.9 - **C.** 0.6 --- ### Explanation of Concepts - **Market Supply Function:** This equation describes the relationship between the price and the quantity of a good that producers are willing to supply. The constant term indicates the base level of supply, while the coefficient of \( P \) shows how supply changes with price. - **Market Demand Function:** This equation captures the factors influencing the demand for a product, showing how various economic variables like price, income, and substitute goods (public university prices) affect the number of applicants to private universities. - **Price Elasticity of Demand:** This measures the responsiveness of the quantity demanded to a change in price, indicating whether demand is elastic or inelastic. Understanding these functions and concepts helps in analyzing market dynamics and predicting consumer behavior.
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