Hints: -500 dp dQ The general linear demand for good X is estimated to be -1.5 Q = 250000 – 500p – 1.5M – 240p, dM dQ -240 where p is the price of good X, M is the average income of consumers dp, who buy good X, and p, is the price of related good r, The values of p, M, and p, are expected to be $400, $60,000, and $100, respectively. Use these values at this point on the demand to make the following computations. a Compute the quantity of good X demanded for the given values of P, M, and p. b. Calculate the price elasticity of demand ɛg. At this point on the demand for X, is demand elastic, inelastic, or unitary elastic? How would increasing the price of X affect total reveune? Explain. c. Calculate the income elasticy of demand Em. Is good X normal or inferior? Explain how a 4 percent increase in income would affect demand for X, all other factors affecting the demand for X remaining the same. d. Calculate the cross-price elasticity ɛg. Are the goods X and R substitutes or complements? Explain how a 5 percent decrease in the price of related good R would affect demand for X, all other factors affecting the demand for X remaining the same.

Hints: -500 dp dQ The general linear demand for good X is estimated to be -1.5 Q = 250000 – 500p – 1.5M – 240p, dM dQ -240 where p is the price of good X, M is the average income of consumers dp, who buy good X, and p, is the price of related good r, The values of p, M, and p, are expected to be $400, $60,000, and $100, respectively. Use these values at this point on the demand to make the following computations. a Compute the quantity of good X demanded for the given values of P, M, and p. b. Calculate the price elasticity of demand ɛg. At this point on the demand for X, is demand elastic, inelastic, or unitary elastic? How would increasing the price of X affect total reveune? Explain. c. Calculate the income elasticy of demand Em. Is good X normal or inferior? Explain how a 4 percent increase in income would affect demand for X, all other factors affecting the demand for X remaining the same. d. Calculate the cross-price elasticity ɛg. Are the goods X and R substitutes or complements? Explain how a 5 percent decrease in the price of related good R would affect demand for X, all other factors affecting the demand for X remaining the same.

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 6E

See similar textbooks

Similar questions

The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95ep − 3p2⁄2, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a)Determine the price elasticity of demand E when the retail price is set at ¥300. E = Interpret your answer. The demand is going by % per 1% increase in price at that price level. Thus, a large price ___ is advised. (b)At what price will revenue be a maximum? (Round your answer to the nearest integer.) yen (c)Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) paint-by-number sets per month
The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95e−3p2 + p, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a) Determine the price elasticity of demand E when the retail price is set at ¥400. E = _____ Interpret your answer. The demand is going down/up by ____ % per 1% increase in price at that price level. Thus, a large price decrease/increase is advised. (b) At what price will revenue be a maximum? ____ hundred yen (c) Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) ______ paint-by-number sets per month
Smooth Sailing, Inc., has estimated the demand function for its sailboats (quantity purchased annually) as follows: QD= 89,830-40PS+20Px+15Py+2I+0.001A+10W Where, QD = quantity purchased, PS = the price of smooth sailing sailboats, PX = the price of Company X’s sailboat, PY = the price of Company Y’s motorboat, I = per capita income in dollars, A = dollars spent on advertising, and W = number of favorable days of weather in the southern region of the United States. Suppose that PS = $9,000, PX = $9,500, PY = $10,000, I = $15,000, A = $170,000, and W = 160. Find the price elasticity of demand at that point. Is elastic, inelastic, or unitary elastic in part (a)? Justify?
These questions require application of economic theory relating to elasticity of demand andsupply. All calculations must be shown in full. Answer ALL the questions.Q.3.1 A store that sells maize meal discovers that when the price of 1kg maize meal IsR24 per kilogram, the quantity demanded is 306 kgs per week. When the pricedecreases to R21 per kg, then the sales increase to 340 kgs per week. Use thisinformation to answer questions Q.3.1.1 and Q.3.1.2 below.Q.3.1.1 Determine the price elasticity of maize meal using the Arc method. (5)Q.3.1.2 Discuss the relationship between the price elasticity of maize mealand the total revenue the store received from the sales. Advise thestore on an appropriate pricing strategy.(7)Q.3.2 The store selling maize meal makes a further discovery, when the price of ricechanges from R30 per kg to R26 per kg, then the quantity of rice demandeddecreases from 1360 kg per month to 1238 kg per month. Use this informationto answer Q.3.2.1 and Q.3.2.2 below.Q.3.2.1…
Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level? __________ What is the income elasticity of demand for gasoline at this price, income, and quantity level? __________ What happens to the income elasticity of gasoline demand if I rises from 60 to 100? It _____________ (rises/falls) to ______________. Does this change in elasticity make gasoline buying more or less sensitive to income changes? __________
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…
After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the price elasticity of demand for the firm’s product? a. -0.0291 b. -0.027 c. -0541 d. -.270
After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the cross- price elasticity of demand between its product and its rival’s product? a. 0.0388 b. 0.0721 c. 0.0360 d. -0.0360
After a careful statistical analysis, the Chidester Company concludes the demand function for its product is Q = 500 - 3P + 2Pr + 0.1I where Q is the quantity demanded of its product, P is the price of its product, Pr is the price of its rival’s product, and I is per capita disposable income (in dollars). At present, P = $10, Pr = $20, and I = $6,000. What is the income elasticity of demand for the fi rm’s product? a. -0.5405 b. 0.5405 c. 1.0811 d. 0.5825
Kk177. Suppose the market demand function is given as;Qd = 5I + 10P_1 − 0.4P^2where I is income in $1000 and P1 is price of a related good.(a) What is the relation between these two goods?(b) Calculate the income, cross price, and own price elasticities of demand if I = $50,000, P1 = $10 and P = $20.(c) At what price is demand unit elastic if I = $50,000 and P1 = $10?
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
The following estimates have been obtained for the market demand for cereal In Q= 9.01- 0.68 In P+0.75In A-1.3M, where Q is the quantity of cereal,P is the price of cereal,A is the level of adverstising, and M is income. Based on this information,determine the effect on the consumption of cereal of : a: A 5 percent reduction in the price of cereal. b: A 4 percent increase in income. c: A 20 percent reduction in cereal advertising.