The daily demand for Invigorated PED shoes is estimated to be Qdx = 100−3Px + 4Py − .01M + 2Ax where Ax represents the amount of advertising spent on shoes (X), Px is the price of good X, Py is the price of good Y, and M is average income. Suppose good X sells at $25 a pair, good Y sells at $35, the company utilizes 50 units of advertising, and average consumer income is $20,000. Calculate and interpret the own price, cross-price, and income elasticities of demand.

The daily demand for Invigorated PED shoes is estimated to be Qdx = 100−3Px + 4Py − .01M + 2Ax where Ax represents the amount of advertising spent on shoes (X), Px is the price of good X, Py is the price of good Y, and M is average income. Suppose good X sells at $25 a pair, good Y sells at $35, the company utilizes 50 units of advertising, and average consumer income is $20,000. Calculate and interpret the own price, cross-price, and income elasticities of demand.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter4: Estimating Demand

Section: Chapter Questions

Problem 7E

See similar textbooks

Similar questions

An analyst for FoodMax estimates that the demand for its Brand X potato chips is given by ln QdX = 12.14 – 2.8 ln PX + 3.4PY + 0.7 ln AX, where Qx and PX are the respective quantity and price of a four-ounce bag of Brand X potato chips, PY is the price of a six-ounce bag sold by its only competitor, and AX is FoodMax’s level of advertising on Brand X potato chips. Last year, FoodMax sold 7 million bags of Brand X chips and spent $0.42 million on advertising. Its plant lease is $2.1 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.8 million; payments to employees (all of whom earn annual salaries) were $0.8 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.8 million on these items, which were purchased in competitive input markets. Based on this information, what is the profit-maximizing price for a bag of…
Recently, Pacific Cellular ran a pricing trial in order to estimate the elasticity of demand for its services. The manager selected three states that were representative of its entire service area and increased prices by 5 percent to customers in those areas. One week later, the number of customers enrolled in Pacific’s cellular plans declined 4 percent in those states, while enrollments in states where prices were not increased remained flat. The manager used this information to estimate the own price elasticity of demand and, based on her findings, immediately increased prices in all market areas by 5 percent in an attempt to boost the company’s 2012 annual revenues. One year later, the manager was perplexed because Pacific Cellular’s 2012 annual revenues were 10 percent lower than those in 2011 - the price increase apparently led to a reduction in the company’s revenues. Did the manager make an error? Explain.
Recently, Verizon Wireless ran a pricing trial in order to estimate the elasticity of demand for its services. The manager selected three states that were representative of its entire service area and increased prices by 5 percent to customers in those areas. One week later, the number of customers enrolled in Verizon’s cellular plans declined 4 percent in those states, while enrollments in states where prices were not increased remained flat. The manager used this information to estimate the own price elasticity of demand and, based on her findings, immediately increased prices in all market areas by 5 percent in an attempt to boost the company’s 2012 annual revenues. One year later, the manager was perplexed because Verizon’s 2012 annual revenues were 10 percent lower than those in 2011—the price increase apparently led to a reduction in the company’s revenues. Did the manager make an error? Explain
The demand equation for cans of chicken is Qd= 60-3p Suppose the price of a can of chicken increases from $5 to $10. The price elasticity of demand is _________ (use decimals if necessary). We classify this price elasticity of demand as ____ over the $5 to $10 price change. A. Elastic B.Inelastic C.Unit elastic
Goals of data analysis Consider the following scenario. An economist seeks to estimate the magnitude of the price elasticity of demand of alcohol, which economic theory asserts is negative. This scenario most closely aligns with which of the following goals of data analysis? Quantifying relationships Describing the economy Testing hypotheses Predicting the future
The REDY Company produces a specialty cement used in the construction of roads. REDY is a price-setting firm and estimates the demand for its cement using a demand function in the linear form: Q = f( P, M, PR) where Qc = demand for cement/month (in yards) Pc = the price of cement per yard, M = country’s tax revenues per capita, and PR = the price of asphalt per yard. The manager of REDY obtained the following results in her attempt to estimate the demand for cement in the succeeding months. The results are presented below: DEPENDENT VARIABLE Qc R- SQUARE F-RATIO P-VALUE ON F OBSERVATIONS 64 0.8093 84.872 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 8.20 4.01 2.04 0.0461 PC -3.54 1.64 -2.16 0.0357 M…
Using regression analysis on data from a field experiment, the demand curve for a product is estimated to be QXd = 1,200 − 3PX − 0.1PZ where Pz = $300. a. What is the own price elasticity of demand when Px = $140? Is demand elastic or inelastic at this price? b. What is the own price elasticity of demand when Px = $240? Is demand elastic or inelastic at this price? c. What is the cross-price elasticity of demand between good X and good Z when Px = $140?
According to studies undertaken by the U.S. department of agriculture, the price elasticity of demand for cigarettes is about +0.5. Suppose a major brokerage firm advised its clients to buy cigarette stock under the assumption that, if consumer income rise by 50 percent as expected over the next decade, cigarette sales would double. Based on the fundamental economic principles on income elasticity of demand, a reasonable reaction to this investment advice would be?
The demand equation for a firm’s product has been estimated as Ln Qx = 7.3 – 2 Ln Px + 0.5 Ln I + 0.25 Ln Py - 1.5 Ln Pz, where Qx represents unit sales of brand X, Px is the price of brand X, I is per-capita income, Py is the price of brand Y, and Pz is the price of brand Z. (A)Write this demand equation in its multiplicative form. (B) What is the price elasticity of demand for brand X? is demand price elastic or inelastic? (C)What is the income elasticity of demand for brand X? What type of good is brand X?
The demand equation for a firm’s product has been estimated as Ln Qx = 7.3 – 2 Ln Px + 0.5 Ln I + 0.25 Ln Py - 1.5 Ln Pz, where Qx represents unit sales of brand X, Px is the price of brand X, I is per-capita income, Py is the price of brand Y, and Pz is the price of brand Z. (A)Write this demand equation in its multiplicative form. (B) What is the price elasticity of demand for brand X? is demand price elastic or inelastic? (C)What is the income elasticity of demand for brand X? What type of good is brand X? (D)What is the cross-price elasticity of demand for brand X in relation to the price of brand Y? What is the relationship between brand X and brand Y? (E) What is the cross-price elasticity of demand for brand X in relation to the price of brand Z? What is the relationship between brand X and brand Z? (F) What effect will an increase in Px by 10% have on the firm’s total revenues? (G)What is the total effect will an increase in Px by 10%, a decrease in I…
The demand function for good X is ln Qdx= a + b ln Px + c ln M + e, where Px is the price of good X and M is income. Least squares regression reveals that â = 7.42, b ˆ = −2.18, and ĉ = 0.34. a. If M = 55,000 and Px = 4.39, compute the own price elasticity of demand based on these estimates. Determine whether demand is elastic or inelastic. b. If M = 55,000 and Px = 4.39, compute the income elasticity of demand based on these estimates. Determine whether X is a normal or inferior good.
Question asked in two parts. Please help with the bolded questions. The demand for a commodity is given by Q = β0 + β1P + u, where Q denotes quantity, P denotes price, and u denotes factors other than price that determine demand. Supply for the commodity is given by Q = g0 + g1P + v, where v denotes factors other than price that determine supply. Suppose u and v both have a mean of 0, have standard deviations su and sv, respectively, and are mutually uncorrelated.a) Solve the two simultaneous equations to show how Q and P depend on u and v.b) Derive the means of P and Q.c) Derive the variance of P, the variance of Q, and the covariance between Q and P.d) A random sample of observations of (Qi, Pi) is collected, and Q is regressed on Pi. (Thatis, Qi is the regressand, and Pi is the regressor.) Suppose the sample is very largei) Use your answers to (b) and (c) to derive values of the regression coefficient.[Hint: Use Equations (4.7) and (4.8) in Stock and Watson’s book.]ii) A researcher…