ABC Corporation is trying to forecast the effect of an upcoming environmental regulation on the variable costs of one of their key products. The regulation is still being debated in the legislature. There is a 50% chance that the regulation will not be released in time to affect next year’s variable costs. ABC management expects the regulation, when it is released, is equally likely to increase variable costs by either 5% or 10%. Currently, the product’s variable costs are P140 per unit. Based on these expectations, what is the expected variable cost for ABC’s key product next year?
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ABC Corporation is trying to forecast the effect of an upcoming environmental regulation on the variable costs of one of their key products. The regulation is still being debated in the legislature. There is a 50% chance that the regulation will not be released in time to affect next year’s variable costs. ABC management expects the regulation, when it is released, is equally likely to increase variable costs by either 5% or 10%. Currently, the product’s variable costs are P140 per unit. Based on these expectations, what is the expected variable cost for ABC’s key product next year?
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- Play Things is developing a new Lady Gaga doll. The company has made the following assumptions: The doll will sell for a random number of years from 1 to 10. Each of these 10 possibilities is equally likely. At the beginning of year 1, the potential market for the doll is two million. The potential market grows by an average of 4% per year. The company is 95% sure that the growth in the potential market during any year will be between 2.5% and 5.5%. It uses a normal distribution to model this. The company believes its share of the potential market during year 1 will be at worst 30%, most likely 50%, and at best 60%. It uses a triangular distribution to model this. The variable cost of producing a doll during year 1 has a triangular distribution with parameters 15, 17, and 20. The current selling price is 45. Each year, the variable cost of producing the doll will increase by an amount that is triangularly distributed with parameters 2.5%, 3%, and 3.5%. You can assume that once this change is generated, it will be the same for each year. You can also assume that the company will change its selling price by the same percentage each year. The fixed cost of developing the doll (which is incurred right away, at time 0) has a triangular distribution with parameters 5 million, 7.5 million, and 12 million. Right now there is one competitor in the market. During each year that begins with four or fewer competitors, there is a 25% chance that a new competitor will enter the market. Year t sales (for t 1) are determined as follows. Suppose that at the end of year t 1, n competitors are present (including Play Things). Then during year t, a fraction 0.9 0.1n of the company's loyal customers (last year's purchasers) will buy a doll from Play Things this year, and a fraction 0.2 0.04n of customers currently in the market ho did not purchase a doll last year will purchase a doll from Play Things this year. Adding these two provides the mean sales for this year. Then the actual sales this year is normally distributed with this mean and standard deviation equal to 7.5% of the mean. a. Use @RISK to estimate the expected NPV of this project. b. Use the percentiles in @ RISKs output to find an interval such that you are 95% certain that the companys actual NPV will be within this interval.The Baker Company wants to develop a budget to predict how overhead costs vary with activity levels. Management is trying to decide whether direct labor hours (DLH) or units produced is the better measure of activity for the firm. Monthly data for the preceding 24 months appear in the file P13_40.xlsx. Use regression analysis to determine which measure, DLH or Units (or both), should be used for the budget. How would the regression equation be used to obtain the budget for the firms overhead costs?The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He has also recorded data on potentially relevant variables. The data are listed in the file P13_17.xlsx. a. Estimate a simple regression equation involving annual sales (the dependent variable) and the size of the population residing within 10 miles of the restaurant (the explanatory variable). Interpret R-square for this regression. b. Add another explanatory variableannual advertising expendituresto the regression equation in part a. Estimate and interpret this expanded equation. How does the R-square value for this multiple regression equation compare to that of the simple regression equation estimated in part a? Explain any difference between the two R-square values. How can you use the adjusted R-squares for a comparison of the two equations? c. Add one more explanatory variable to the multiple regression equation estimated in part b. In particular, estimate and interpret the coefficients of a multiple regression equation that includes the previous years advertising expenditure. How does the inclusion of this third explanatory variable affect the R-square, compared to the corresponding values for the equation of part b? Explain any changes in this value. What does the adjusted R-square for the new equation tell you?
- The file P13_02.xlsx contains five years of monthly data on sales (number of units sold) for a particular company. The company suspects that except for random noise, its sales are growing by a constant percentage each month and will continue to do so for at least the near future. a. Explain briefly whether the plot of the series visually supports the companys suspicion. b. By what percentage are sales increasing each month? c. What is the MAPE for the forecast model in part b? In words, what does it measure? Considering its magnitude, does the model seem to be doing a good job? d. In words, how does the model make forecasts for future months? Specifically, given the forecast value for the last month in the data set, what simple arithmetic could you use to obtain forecasts for the next few months?Stock market analysts are continually looking for reliable predictors of stock prices. Consider the problem of modeling the price per share of electric utility stocks (Y). Two variables thought to influence this stock price are return on average equity (X1) and annual dividend rate (X2). The stock price, returns on equity, and dividend rates on a randomly selected day for 16 electric utility stocks are provided in the file P13_15.xlsx. Estimate a multiple regression equation using the given data. Interpret each of the estimated regression coefficients. Also, interpret the standard error of estimate and the R-square value for these data.Based on Babich (1992). Suppose that each week each of 300 families buys a gallon of orange juice from company A, B, or C. Let pA denote the probability that a gallon produced by company A is of unsatisfactory quality, and define pB and pC similarly for companies B and C. If the last gallon of juice purchased by a family is satisfactory, the next week they will purchase a gallon of juice from the same company. If the last gallon of juice purchased by a family is not satisfactory, the family will purchase a gallon from a competitor. Consider a week in which A families have purchased juice A, B families have purchased juice B, and C families have purchased juice C. Assume that families that switch brands during a period are allocated to the remaining brands in a manner that is proportional to the current market shares of the other brands. For example, if a customer switches from brand A, there is probability B/(B + C) that he will switch to brand B and probability C/(B + C) that he will switch to brand C. Suppose that the market is currently divided equally: 10,000 families for each of the three brands. a. After a year, what will the market share for each firm be? Assume pA = 0.10, pB = 0.15, and pC = 0.20. (Hint: You will need to use the RISKBINOMLAL function to see how many people switch from A and then use the RISKBENOMIAL function again to see how many switch from A to B and from A to C. However, if your model requires more RISKBINOMIAL functions than the number allowed in the academic version of @RISK, remember that you can instead use the BENOM.INV (or the old CRITBENOM) function to generate binomially distributed random numbers. This takes the form =BINOM.INV (ntrials, psuccess, RAND()).) b. Suppose a 1% increase in market share is worth 10,000 per week to company A. Company A believes that for a cost of 1 million per year it can cut the percentage of unsatisfactory juice cartons in half. Is this worthwhile? (Use the same values of pA, pB, and pC as in part a.)
- Calanute Beach Resort, a fictional seaside luxury hotelin Goa, India, had the following occupancy rates for 12months in 2014Month Occupancy Rate in %1 652 683 724 755 786 837 928 889 7610 6511 6412 69a Forecast the occupancy rate for January2015 usingsimple exponential smoothing with α = 0.4. Assumethat the forecast for Month 2 (F2) is 65%. b Forecast the January 2015 occupancy rate usingtrend-adjusted simple exponential smoothing with α =…Sales for the past 12 months at computer success are given here: January 3,000 July 6,300 february 3,400 August 7,200 March 3,700 Sept 6,400 April 4,100 Oct 4,600 May 4,700 Nov 4,200 June 5,700 December 3,900 a. Use a 3-month moving average to forecast the sales for the months May through December b. Use a 4-month moving average to forecast the sales for the months May through December C. Compare the performance of the two methods by using the mean absolute deviation as the performance criterion. Which method would you recommend? d. Compare the performance of the two methods by using the mean absolute percent error as the performance criterion. Which method would you recommend? e. Compare the performance of the two methods by using the mean squared error as the performance criterion. Which method would you recommend?You work for BMW as a planner. BMW is expecting to increase its annual sales for BMW- X5 in year 2021 by 10 % compared to year 2020 annual sales. Find the quarterly forecast for year 2021, given the following data : (You need to consider the Quarterly seasonal effect) Quarter Actual Car Sales (2019) Actual Car Sales (2020) Quarter 1 80000 88000 Quarter 2 100000 110000 Quarter 3 120000 132000 Quarter 4 90000 99000
- If the weights for a moving average forecast with a span of 4 are: 0.3,0.2,0.2,0.4 Problem: Under prediction Problem: Over prediction No problemThe equation y = 210 + 3x is used to predict quarterly demand where x = 0 in the second quarter of last year. Quarterly seasonal factors are Q1 = 1.5, Q2 = 0.8, Q3 = 1.1, and Q4 = 0.5. What is the forecast for the third quarter of this year?photoA manufacturer of printed circuit boards uses exponentialsmoothing with trend to forecast monthly demand of its product.At the end of December, the company wishes to forecast salesfor January. Th e estimate of trend through November has been200 additional boards sold per month. Average sales have beenaround 1000 units per month. Th e demand for December was1100 units. Th e company uses a 0.20 and b 0.10. Make aforecast including trend for the month of January