General Cereals is using a regression model to estimate the demand for Tweetie Sweeties, a whistle-shaped, sugar-coated breakfast cereal for children. The following (multiplicative exponential) demand function is being used: QD=6,280 P -1.35) 42.05 N 2.70 where QD = quantity demanded, in 10-oz boxes P = price per box, in dollars A = advertising expenditures on daytime television, in dollars N = proportion of the population under 12 years old, in percent What is the point price elasticity of demand for Tweetie Sweeties? O 2.70 O 2.05 O-0.66 O-1.35 What is the advertising elasticity of demand? O -1.35 O 2.70 O 0.76 O 2.05 According to the estimated model, a percent increase in the proportion of the population under 12 years old ▼ the quantity demanded
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- Interpret the coefficients and calculate the price elasticity of soft drink demand.General Cereals is using a regression model to estimate the demand for Tweetie Sweeties, a whistle-shaped, sugar-coated breakfast cereal for children. The following (multiplicative exponential) demand function is being used: QD = 6,280 P(-2.15) A1.75N2.70 where QD = quantity demanded, in 10-oz boxes P = price per box, in dollars A = advertising expenditures on daytime television, in dollars N = proportion of the population under 12 years old, in percent What is the point price elasticity of demand for Tweetie Sweeties? 1.75 -1.23 2.70 -2.15 What is the advertising elasticity of demand? 0.65 1.75 -2.15 2.70 According to the estimated model, a percent increase in the proportion of the population under 12 years old by percent. the quantity demandedSubpart to be solved 1. Consider the following: If the price per unit of good A is P200 quantity purchased isvalued at 1,500 units. If price changes (increase or decrease) by P1, quantity demandedchanges (decreases or increases) by 4 units.A. Determine the demand function expressed as a price function. B. Set up a demand schedule for this function and determine the price elasticity ofdemand at various P and Qd combinations using point-price elasticity formula.(Make sure that all elasticity concepts are found on the same demand curve.) C. Determine the TR and MR functions.D. Graph the demand curve and the TR curve (TR curve just below the demand curve)E. At what P and Qd combination will TR be maximum?
- Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A (220) (5.0) (5.6) (0.2) (0.16) R²=0.57 n=25 F = 6.83 Assume the following values for the independent variables: Standard error 1 Q denotes quantity sold per month Pje (denotes price of the bottled juice) = 240 (in cents) P. (denotes price of leading competitor's product) - 300 (in cents) I (denotes per capita income of the standard residential district in which the retail store is located) = 4000 (in dollars) A (denotes monthly advertising expenditure) = 7700 (in dollars) Using this information, answer the following questions: a. Compute elasticities for each variable.. b. Do you think that this firm should cut its price to increase its market share?Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A (220) (5.0) (5.6) (0.2) (0.16) R²=0.57 n=25 F = 6.83 Assume the following values for the independent variables: Standard error 1 Q denotes quantity sold per month Pje (denotes price of the bottled juice) = 240 (in cents) P. (denotes price of leading competitor's product) - 300 (in cents) I (denotes per capita income of the standard residential district in which the retail store is located) = 4000 (in dollars) A (denotes monthly advertising expenditure) = 7700 (in dollars) Using this information, answer the following questions: a. Compute elasticities for each variable.. b. Do you think that this firm should cut its price to increase its market share? Explain..The demand for a 12-ounce bottle of sparkling water is given in the table. Demand Schedule for Sparkling Water in 12-ounce Bottles Price (dollars per bottle) 2.29 2.69 3.09 3.49 3.89 4.29 Demand (million bottles) 25 9 3 2 1 0.5 (a) Write the function for the exponential model that gives demand in million bottles, as a function of price per bottle p, with data from 2.29 ≤ p ≤ 4.29. (Round all numerical values to two decimal places. Be sure you use the correct input variable p.) D(p) = Does the model indicate a price above which consumers will purchase no bottles of water? The model is exponential and ---Select--- ✓the horizontal axis. Therefore there is ---Select--- above which consumers will not purchase water. (b) What quantity of water will consumers purchase when the market price is $3.87? (Round your answer to two decimal places.) million bottles (c) Calculate the amount that consumers willing and able to spend to purchase the quantity found in part (b). (Round your answer to one…
- Price, dollars per pound Quantity, thousand pounds per day 1.90 1.5 1.35 2.2 1.25 4.4 1.20 5.9 0.95 6.5 0.85 7.0 0.73 8.8 Using the Excel trendline option to estimate a linear demand function, the linear demand function is Q = 12.53 – 6.25p. Suppose the quantity in the first row of the table were 3 instead of 1.5. The linear demand function would now be Q =]-p. (Enter your responses rounded to two decimal places.) Suppose the quantity in the second row of the table were 3.2 instead of 2.2. The linear demand function would now be Q =- p. (Enter your responses rounded to two decimal places.) Enter your answer in each of the answer boxes. JUL 11 MacBook ProThe 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.ATV 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. DEPENDENT VARIABLE Qc R- SQUARE P- VALUE ON F 64 0.8093 0.0001 INDEPENDENTVARIABLE 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 0.64287 0.19 3.38 0.0014 PA 0.7854 0.38 2.07 0.0439 10. Write the resulting regression equation.
- Imagine that you work for the maker of a leading brand of low-calorie, frozen microwavable food that estimates the following demand equation for its product using data from 26 supermarkets around the country for the month of April. Note: The following is a regression equation. Standard errors are in parentheses for the demand for widgets. QD = - 5200 - 42P + 20PX + 5.2I + 0.20A + 0.25M (2.002) (17.5) (6.2) (2.5) (0.09) (0.21) R2 = 0.55 n = 26 F = 4.88 Your supervisor has asked you to compute the elasticities for each independent variable. Assume the following values for the independent variables: Q = Quantity demanded of 3-pack units P (in cents) = Price of the product = 500 cents per 3-pack unit PX (in cents) = Price of leading competitor's product = 600 cents per 3-pack unit I (in dollars) = Per capita income of the standard metropolitan statistical area (SMSA) in…A large company in the communication and publishing industry hs quantified the relationship between the price of one of its products and the demand for this product as Price = 160 -0.01 xDemand for an annual printing of this particular product. The foxed costs per year (ie. per printing) = $4T 000 and the variable cost per unit = $35. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 7,000 units per year. The maximum profit that can be achieved is S. (Round to the nearest dolar.) The unit price at the point of optimal demand is S per unit (Round to the nearest cent)The equation of an estimated demand function is as follows: - QdA (Quantity demand for A) = 200.5 - 2.5 Pa - 1.5Pb + 3.5 I where, Pa = Price of A Pb = Price of B [It is a related product] I = Income (i) Determine the demand when Pa = $ 500, Pb = $ 100 and I = $ 3000 (ii) Estimate the price elasticity, cross-price elasticity and income elasticity of the demand according to point method. (iii) Estimate the elasticity of the demand according to proportion method if Pa2 = $ 515, Pb2 = $ 105 and I = $ 3500.