For a linear demand function given by Qd_x = a0 + ax*Px + ay*Py + aM*M + aH*H, what is the formula for the own price elasticity of demand (EQx,Px)?

Correct answer: ax * (Px / Qx)

Explanation

This question tests the specific formula used to calculate own price elasticity from a linear demand function, as presented on page 91. It highlights that for linear demand, elasticity is not constant and depends on the point of measurement.

Other questions

Question 1

According to the definition provided in Chapter 3, what does the own price elasticity of demand measure?

Question 2

If the own price elasticity of demand for a product is -2.5, how would the demand for this product be classified?

Question 3

According to the Total Revenue Test, if a firm's demand is elastic, what is the effect of a price increase on total revenue?

Question 4

Table 3-2 shows that the own price elasticity of demand for food is -0.7, while the elasticity for cereal is -1.5. What is the most likely explanation for this difference?

Question 5

A firm's marginal revenue (MR) is related to the price (P) and the own price elasticity of demand (E) by the formula MR = P * [(1 + E) / E]. If the firm's demand is unitary elastic (E = -1), what is its marginal revenue?

Question 6

What does a positive cross-price elasticity of demand between good X and good Y indicate?

Question 7

The income elasticity of demand for a product is -0.7. How would this product be classified?

Question 9

If a demand function is log-linear, such as ln(Qd) = 2.23 - 1.2*ln(Q) + 1.25*ln(Pop), what is the own price elasticity of demand?

Question 10

What is the primary job of an econometrician, as described in Chapter 3?

Question 11

In a regression analysis, if a coefficient's P-value is 0.03, what can a manager conclude?

Question 12

If a manager has data showing that when the price of a product was $127,100, 4,890,000 units were sold, and when the price was $128,200, 4,770,000 units were sold, what tool can be used to approximate the own price elasticity?

Question 13

The own price elasticity for a firm's product is -1.5, and it earns $4,000 from this product (Product X) and $2,000 from a complementary product (Product Y). The cross-price elasticity between Y and X is -4.0. What is the total change in revenue if the firm reduces the price of Product X by 1 percent?

Question 14

Why does demand tend to be more inelastic in the short term than in the long term?

Question 15

Based on the regression output in Table 3-8, what does the 't-Statistic' of -4.89 for the Price coefficient signify?

Question 16

What is the primary drawback of using R-square as a measure of the goodness of fit for a regression model?

Question 17

A manager's research department provides the following linear demand function for a product: Qd = 2000 - 4P - 10P_s + 0.05M, where P is the product's price, P_s is a substitute's price, and M is income. If P=$100, P_s=$150, and M=$30,000, what is the cross-price elasticity of demand?

Question 18

According to the 'Rule of Thumb for a 95 Percent Confidence Interval' on page 99, how can you approximate the confidence interval for a true parameter 'b' if the estimate is b-hat and its standard error is s_b?

Question 19

An analyst estimates the demand for raincoats is given by ln(Qd) = 10 - 1.2*ln(Px) + 3*ln(R) - 2*ln(Ay), where R is rainfall. What is the impact on demand of a 10 percent increase in the daily amount of rainfall?

Question 20

What is the primary reason a manager might use adjusted R-square instead of R-square?

Question 21

If a 10 percent increase in price leads to a 5 percent decrease in quantity demanded, the own-price elasticity of demand is:

Question 22

According to Table 3-3, which of the following goods has the most inelastic demand in the short-term?

Question 23

If a firm's advertising elasticity of demand is 0.25, what does this value imply?

Question 24

A firm's demand is perfectly elastic. What is the value of its own-price elasticity of demand?

Question 25

An economic consultant for X Corp. estimates the demand function for the firm’s product as Qd_x = 12,000 - 3Px + 4Py - 1M + 2Ax. Based on this equation, what can be concluded about good X?

Question 26

In the regression output for FCI's rental units in Table 3-9, the F-statistic is 7.59 and its significance value is 0.0182. What does this indicate?

Question 27

If a 1 percent increase in consumer income leads to a 2 percent decrease in the quantity demanded of a good, what is the income elasticity of demand?

Question 28

According to Table 3-1, at which price is the demand for software unitary elastic?

Question 29

Which of the following is NOT one of the three factors discussed in Chapter 3 that affect the magnitude of the own price elasticity of a good?

Question 30

If a firm wants to increase its total revenue, and it knows that the demand for its product is inelastic, what should the firm do to its price?

Question 31

The demand function for TVs is estimated as Q = 1631.47 - 2.60P. At the average price of $455, what is the own-price elasticity of demand?

Question 32

The log-linear demand for breakfast cereal is estimated as ln(Qc) = -7.256 - 1.647*ln(Pc) + 1.071*ln(M). What is the income elasticity of demand for cereal?

Question 33

What type of product has an income elasticity that is negative?

Question 34

If a firm's only available information is that the own-price elasticity for its product is -0.5, and it is currently maximizing profit, what can be inferred about its marginal revenue (MR)?

Question 35

What is the key advantage of using multiple regression over simple regression for estimating demand?

Question 36

If a firm's own-price elasticity of demand is -4.0 and its advertising elasticity is 0.2, what is the profit-maximizing advertising-to-sales ratio?

Question 37

If the long-term own price elasticity for clothing is -2.9 and the short-term elasticity is -0.9, what does this imply about consumer behavior?

Question 38

A manager of a computer company estimates the own price elasticity for a desktop computer is -1.7. To increase overall revenues, what should the manager do?

Question 39

What is the 'caveat' mentioned on page 107 regarding regression analysis?

Question 40

If the income elasticity for nonfed ground beef is -1.94, and an economic upturn is expected to raise consumer incomes by 5 percent, what is the expected impact on the sales of nonfed ground beef?

Question 41

A general elasticity measures:

Question 42

If a manager of an online store selling PDAs in Europe sees from the data in 'Inside Business 3-4' that the elasticity for a Sony Clié SJ22 is -3.3, what would a 10 percent price reduction do to sales?

Question 43

What is the reason that the marginal revenue curve lies below the demand curve for a firm with market power?

Question 44

If the cross-price elasticity of demand for clothing with respect to the price of food is -0.18, what is the expected change in demand for clothing if the price of food decreases by 10 percent?

Question 45

If a manager finds that the lower and upper bounds of a 95 percent confidence interval for a price coefficient are -3.82 and -1.37, what is the best estimate for the coefficient?

Question 46

The demand for a product is given by the equation Qd = 80 - 2P. At what price is total revenue maximized?

Question 47

In Demonstration Problem 3-5, a log-linear demand function is estimated for Broadway tickets. The resulting equation is ln(Qd) = 8.44 - 1.58*ln(P). What is the own-price elasticity of demand for these tickets?

Question 48

Why might a product like salt have a very inelastic demand?

Question 49

In the regression for FCI's rental units (Table 3-9), the coefficient for Advertising is 0.54, but its P-value is 0.4296. What should the manager conclude about the effect of advertising?

Question 50

A manager is contemplating a 10 percent price cut on a product with an own-price elasticity of -1.0. What will be the impact on the quantity sold and total revenue?