Concept explainers
Another way to derive a demand function is to break the market into segments and identify a low price, a medium price, and a high price. For each of these prices and market segments, we ask company experts to estimate product demand. Then we use Excel’s trend curve fitting capabilities to fit a quadratic function that represents that segment’s demand function. Finally, we add the segment demand curves to derive an aggregate demand curve. Try this procedure for pricing a candy bar. Assume the candy bar costs $0.55 to produce. The company plans to charge between $1.10 and $1.50 for this candy bar. Its marketing department estimates the demands shown in the file P07_47.xlsx (in thousands) in the three regions of the country where the candy bar will be sold. What is the profit-maximizing price, assuming that the same price will be charged in all three regions?
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Chapter 7 Solutions
Practical Management Science
- Sometimes curvature in a scatterplot can be fit adequately (especially to the naked eye) by several trend lines. We discussed the exponential trend line, and the power trend line is discussed in the previous problem. Still another fairly simple trend line is the parabola, a polynomial of order 2 (also called a quadratic). For the demand-price data in the file P13_10.xlsx, fit all three of these types of trend lines to the data, and calculate the MAPE for each. Which provides the best fit? (Hint: Note that a polynomial of order 2 is still another of Excels Trend line options.)arrow_forwardA company manufacturers a product in the United States and sells it in England. The unit cost of manufacturing is 50. The current exchange rate (dollars per pound) is 1.221. The demand function, which indicates how many units the company can sell in England as a function of price (in pounds) is of the power type, with constant 27556759 and exponent 2.4. a. Develop a model for the companys profit (in dollars) as a function of the price it charges (in pounds). Then use a data table to find the profit-maximizing price to the nearest pound. b. If the exchange rate varies from its current value, does the profit-maximizing price increase or decrease? Does the maximum profit increase or decrease?arrow_forwardA careful analysis of the cost of operating an automobile was conducted by accounting manager Dia Bandaly. The following model was developed: y = 3,600+ 0.16x, where y is the annual cost and x is the miles driven. a) If the car is driven 15,000 miles this year, the forecasted cost of operating this automobile = $ b) If the car is driven 26,000 miles this year, the forecasted cost of operating this automobile = $ (enter your response as a whole number). (enter your response as a whole number).arrow_forward
- The following table shows the number of televisions sold over the last ten years at a local electronic store. YEAR TV SALES 1 150 2 300 3 480 4 600 5 630 6 640 7 700 8 825 9 900 10 980 Using trend projection, develop a formula to predict sales for years 11 and 12. You have to show all working. You will need to develop a table to calculate the slope and the intercept. Use that formula to forecast television sales for years 11 and 12.arrow_forwardWhich of the following statements is correct regarding the EMH form? Select one: None of the answers are correct If the market is weak-form efficient, then it is also semistrong and strong-form efficient. If the market is semistrong form efficient, then it is also strong form efficient If a market is strong-form efficient, it is also semistrong and weak form efficient If the market is strong-form efficient, it is also semistrong but not weak-form efficientarrow_forwardThe following table shows the number of televisions sold over the last ten years at a local electronic store.YEAR TV SALES1 1502 3003 4804 6005 6306 6407 7008 8259 90010 980 i. Using trend projection, develop a formula to predict sales for years 11 and 12. Show all working and develop a table to calculate the slope and the intercept. ii. Use that formula to forecast television sales for years 11 and 12.arrow_forward
- Find (Locvation Quotent) in the table below Note, LQ = e / E e = local employment in industry / total local employment E = national employment in industry / total national employment total national employment = 112,077.573 total local employment = 288.046arrow_forward1000 1000 900 900 800 800 700 700 600 8 600 * s00 500 400 400 300 200 300 200 100 100 200 400 600 800 1000 200 400 600 800 1000 Q= quantity Q= quantity Graph#1 Graph#2 Will there be a market surplus or market shortage when the price is $500? P pricearrow_forwardNatBike, a bicycle manufacturer, has identified two customer segments; one segment prefers a customized bicycle and is willing to pay a higher price whereas the other is willing to take a standardized bicycle but is more price sensitive. Assume that the cost of manufacturing either bicycle is $200. Demand from the customized segment has a demand curve of d1=20,000-10p1 and demand from the price-sensitive standard segment is d2=40000-30p2 What price should NatBike charge each segment if there is no capacity constraint? What price should NatBike charge each segment if the total available capacity is 20,000 bicycles? What is the total profit in each case?arrow_forward
- "A chipboard company has 4 factories, Mazatenango, Retalhuleu, Escuintla and Xela. It has four major distributors of its chipboards, which are distributor 1, distributor 2, distributor 3 and distributor 4: Mazatenango Retalhuleu Escuintla Xela DEMAND D1 10 16 19 12 350 D2 12 10 18 15 300 D3 15 22 10 10 250 IN THIS CASE USE VOGEL'S APPROXIMATION METHOD D4 20 10 12 20 200 SUPPLY 150 150 350 250 1) Formulate the problem as a transportation problem, solve it with the three methods and find the optimal cost for this problem. methods and find the optimal cost for this transportation problem. (remember to go through all possible routes).arrow_forward48- The maximum number of sales that can occur in a given period to an individual or businesses that are willing to sell in a given market is known as: a. Product demand b. Market potential c. Market demand d. All the options are correctarrow_forwardDefine the different components (y, x, a, and b) of a linearregression equationarrow_forward
- Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,