kad has estimated the following demand relationship for its product over the last four years, using monthly observations: ln qt = 4.932- 1.238 ln pt + 1.524 ln yt-1 + 0.4865ln qt-1 (2.54) (1.38) (3.65) (2.87) r 2= 0.8738 where q = sales in units, p = price in rs., y is income in rs,000, and the numbers in brackets are t-statistics. a. interpret the above model. b. make a sales forecast if price is rs. 9, income last month was rs. 25,000 and sales last month were 2,981 units. c. make a sales forecast for the following month if there is no change in price or income. d. if price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions

kad has estimated the following demand relationship for its product over the last four years, using monthly observations: ln qt = 4.932- 1.238 ln pt + 1.524 ln yt-1 + 0.4865ln qt-1 (2.54) (1.38) (3.65) (2.87) r 2= 0.8738 where q = sales in units, p = price in rs., y is income in rs,000, and the numbers in brackets are t-statistics. a. interpret the above model. b. make a sales forecast if price is rs. 9, income last month was rs. 25,000 and sales last month were 2,981 units. c. make a sales forecast for the following month if there is no change in price or income. d. if price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions

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

Chapter5: Business And Economic Forecasting

Section: Chapter Questions

Problem 8E: Bell Greenhouses has estimated its monthly demand for potting soil to be the following: N=400+4X...

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A store that sells maize meal discovers that when the price of 1kg maize meal Is R24 per kilogram, the quantity demanded is 306 kgs per week. When the price decreases to R21 per kg, then the sales increase to 340 kgs per week.
The demand function for Newton’s Donuts has been estimated as follows:Qx = -14 – 54Px + 45Py + 0.62Ax where Qx represents thousands of donuts; Px is the price per donut; Py is the average price per donut of other brands of donuts; and Ax represents thousands of dollars spent on advertising Newton’s Donuts. The current values of the independent variables are Ax=120, Px=0.95, and Py=0.64.Show all of your calculations and processes. Describe your answer for each question in complete sentences, whenever it is necessary. Calculate the price elasticity of demand for Newton’s Donuts and describe what it means. Describe your answer and show your calculations. Derive an expression for the inverse demand curve for Newton’s Donuts. Describe your answer and show your calculations. If the cost of producing Newton’s Donuts is constant at $0.15 per donut, should they reduce the price and thereafter, sell more donuts (assuming profit maximization is the company’s goal)? Should Newton’s Donuts spend…
A manufacturer of entertainment centers uses the completion of new homes as part of their demand forecast. They consider that for every five homes that cost over $300,000 in the city, they make one sale. For every 20 new homes that cost over $150,000 but less than $300,000 in the city, they make one sale. Their projected demand for the future period, before they consider home sales, is for six entertainment centers. They now receive home figures of ten new homes of over $300,000 and 40 new homes of $150,000-$300,000. What should their new forecast be?
Bell Greenhouses has estimated its monthly demand for potting soil to be the following: Assume this trend factor is expected to remain stable in the foreseeable future. The following table contains the monthly seasonal adjustment factors, which have been estimated using actual sales data from the past five years: MONTH ADJUSTMENT FACTOR (%) March +2 June +15 August +10 December −12 a. Forecast Bell Greenhouses’ demand for potting soil in March, June, August, and December 2007. Answer b. If the following table shows the forecasted and actual potting soil sales by Bell Greenhouses for April in five different years, determine the seasonal adjustment factor to be used in making an April 2008 forecast. YEAR FORECAST ACTUAL 2007 500 515 2006 452 438 2005 404 420 2004 356 380 2003 308 320
A statistician has estimated the following demand function for the demand faced by firm X: Q = 150 – 5.4P +0.8A + 2.8Y – 1.2PZ where Q is the quantity demanded of product X and P is the price of, A is X's advertising expenditure, Y is consumer income per capita, and PZ is the price of firm Z's product. (a) If at price P = 10 demand is Q = 100 (with all other factors fixed), where and by what percentage should firm X change price to increase its revenue by 20%? (b) If advertising expenditure A is increased by 5000, how and by how much will the demand for Q be affected? (c) What is expected to be the ratio of the goods of firms X and Z?
The demand function for a product is given by P = 4000/ln (x+10), where P is the price per unit in dollars when x units are demanded.i. Find the rate of change of price with respect to the number of units sold when 40 units are sold ii. Find the rate of change of price with respect to the number of units sold when 90 units are sold.iii. Find the second derivative to see whether the rate at which the price is changing at 40 units is increasing or decreasing.
Worldwide annual sales of a device in 2012–2013 were approximately q = −6p + 3,040 million units at a selling price of $p per unit. Assume a manufacturing cost of $40 per unit. [HINT: Recall that Profit = Revenue − Cost.] Find the function P for annual profit, in millions of dollars and in terms of p only, subject to any constraints. P(p) = ____ Find P′(p). P′(p) = ____ What selling price (in dollars) would have resulted in the largest annual profit? (Round your answer to two decimal places.) p = $____ What would have been the resulting annual profit (in millions of dollars)? (Round your answer to the nearest whole number.) $ ____ million
In your country, the demand curve of a litre of petrol is given by: P = 107 - 5QD. Due to political unrest coupled with the slow recovery from pandemic, the global price of petrol surged which led to an increase of price per litre of petrol in your country from TK55 to TK80. After the price rise, the employees of the company you work for demanded a pay-raise. Your employer, hence, increased your income from 31033 taka to 46187 taka. The new demand curve at the new income level is P = 132 - 5QD. A). Calculate the income elasticity of demand (YED). B) Now assume that the increase in income (and the subsequent shift of the demand curve) had occured before the rise in price, then what would the YED be?
Manning Inc. is the leading manufacturer of garage doors. Demand for residential garage doors depends, of course, on the rate at which new houses are being built, which in turn depends on changes in income per capita. During the past year, Manning sold 10 000 garage doors at an average price of R1 500 per door. In the coming year, disposable income per capita is expected to increase from R32 000 to R34 000. Without any price change, Manning expects current-year sales to rise to 12 000 units. 1. Calculate the arc income elasticity of demand. 2. The company economist estimates that in conjunction with the change in income, if the price of doors is increased by R100, they could sell 11 500 doors. What is the arc price elasticity and what would be the company’s revenue? 3. Should they raise the price even more?
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 equation for a product for a product brand of mackerel is given by the equation Qx=50-7Px+0.002I+12Py Where Qx=monthly consumption per family in cartons Px=price per carton of makerel=GHC 2.00 I=median annual family income=GHC20,000 Py=price per carton of competing brand of mackerel=2.5 Required: i.At the stated values of the explanatory variables,calculate the consumption of makerel(cartons). ii.what is the relationship between Good x and Good y? iii.what is the nature of Good x ? iv.Suppose the median annual family income increases to GHC40,000,What will be your new consumptino for Good x? v.Suppose that the price per carton of competing brand increases GHC3.00, What will be your new consumption for Good x?