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.
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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
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- If we suppose that the weekly price of milk is $3.40 per gallon and MPEP changes the weekly advertising to $300, the best-fitting regression model to estimate the weekly quantity of milk consumed would be Q = 6.52 - 1.614 (3.40) + .005 (300) = 2.533 gallons of milk. What is the elasticity between $5 and $4? Should you lower or raise price to maximize revenue?The Physics Club sells E = mc2 T-shirts at the local flea market. Unfortunately, the club's previous administration has been losing money for years, so you decide to do an analysis of the sales. A quadratic regression based on old sales data reveals the following demand equation for the T-shirts. q = −2p2 + 33p (9 ≤ p ≤ 15) Here, p is the price the club charges per T-shirt, and q is the number it can sell each day at the flea market. (a) Obtain a formula for the price elasticity of demand for E = mc2 T-shirts. E = (b) Compute the elasticity of demand if the price is set at $10 per shirt. (Round your answer to two decimal places.) Interpret the result. The demand for E = mc2 T-shirts is going ? up down by about % per 1% increase in the price. (c) How much should the Physics Club charge for the T-shirts to obtain the maximum daily revenue? $ What will the revenue be? $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(−1.85)A2.05N2.70QD=6,280 P−1.85A2.05N2.70 where QDQD = quantity demanded, in 10-oz boxes PP = price per box, in dollars AA = advertising expenditures on daytime television, in dollars NN = proportion of the population under 12 years old, in percent What is the point price elasticity of demand for Tweetie Sweeties? 2.05 2.70 -0.90 -1.85 What is the advertising elasticity of demand? 0.76 -1.85 2.70 2.05
- Your company, which specializes in running shoes for men who are growing increasingly follicly-challenged (BalderDash®), has the following demand function: Q = a + bP + cM + dR where Q is the quantity demanded of BalderDash's most popular shoes, Pis the price of that product, M is consumer income, and R is the price of a related product. The regression results are: Adjusted R Square 0.7796 Independent Variables Intercept P Coefficients Standard Error t Stat 21,055.04 1428.27 14.74 8.1E-16 -4.398 0.000 2.064 0.047 -1.556 0.129 Discuss whether you think these regression results will generate good sales estimates for Balder Dash. Now assume that the income is $69,100, the price of the related good is $39, and BalderDash chooses to set the price of its product at $54. b. What is the estimated number of units sold given the data above? (round to nearest unit; no decimals) c. What are the values for the own-price, income, and cross-price elasticities? d. If Pincreases by 6%, what would…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 s ps 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 $4.09? (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…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…
- The coefficient of income in a regression of the quantity demanded of a commodity on price, income and other variables is 10. Calculate the income elasticity of demand for this commodity at income of $10,000 and sales of 80,000 units. What would be the income elasticity of demand if sales increased from 800,000 to 900,000 units and income rose from $10,000 to $11,000? What type of good is this commodity?Variables typically included in a multivariate demand function (other than the price and quantity of the item the demand function represents) are consumer tastes and preferences, the number of buyers, spendable (disposable) income, prices of substitute goods, prices of complementary goods, advertising expenditures, weather, and expectations. Recalling that the price of the item being considered is placed on the vertical axis, and the quantity on the horizontal axis, the other variables are termed demand shifters. Please answer the following questions about the affect changes in other variables might have on the demand for the item. These changes will either cause demand to increase (shift right) or decrease (shift left). Use either word as applicable, for the short answer. If the price of a good increases because the demand for it increases, What would you expect the demand for its complement to do? If the demand for coffee beans increases, then what is likely to happen…The following regression is the demand for free-range chicken, which was estimated from (actual) nationwide data provided by a large UK retailer over a two-year period: Qx = 229,821 – 38,121 Px + 28,826 Py where: Qx = quantity of free-range chicken sold (number of units); Px = average price of free-range chicken (£); and Py = average price of standard non-free-range chicken (£). The average for these variables in these two years are: = 117,735; = £ 5.56; and = 3.46. If marginal cost MC = 2.5 (assume this is constant), calculate the profit-maximising price and the revenue maximising price. In doing so, remember that TRx = Qx · Px, and from the demand equation we obtain (note that is the average value of Py). How do these prices compare with the current price?
- The following regression is the demand for free-range chicken, which was estimated from (actual) nationwide data provided by a large UK retailer over a two-year period Qx= 229,821 - 38,121 Px + 28,826 Py, where: Qx = quantity of free-range chicken sold (number of units), Px = average price of free-range chicken ; and Py = average price of standard non-free-range chicken(f). The average for these variables in these two years are: Qx= 117,735, Px= f 5.56 and Py = 3.46. Question: Calculate the values of the two price elasticities (own-price elasticity, and cross-price elasticity) and interpret them, also critically justifying whether they make intuitive sense. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.Please no written by hand and no emage Your company, which specializes in running shoes for men who are growing increasingly follicly-challenged (BalderDash®), has the following demand function: Q = a + bP + cM + dR where Q is the quantity demanded of BalderDash’s most popular shoes, P is the price of that product, M is consumer income, and R is the price of a related product. The regression results are: Adjusted R Square 0.7796 Independent Variables Coefficients Standard Error t Stat P-value Intercept 21,055.04 1428.27 14.74 8.1E-16 P -83.912 19.079 -4.398 0.000 M 0.0266 0.013 2.064 0.047 R -16.6 10.664 -1.556 0.129 Discuss whether you think these regression results will generate good sales estimates for BalderDash. Now assume that the income is $69,100, the price of the related good is $39, and BalderDash chooses to set the price of its product at $54. b. What is the estimated number of units sold given the data above? (round to nearest unit; no decimals) c.…A regression analysis between demand (y in 1,000 units) and price (x in dollars) resulted in the following equation. 9 = 8- 3x The above equation implies that if the price is increased by $1, the demand is expected to O Increase by 5 units. O decrease by 3 units. O decrease by 3,000 units. O decrease by 5,000 units. Need Help? Read It