The distance from Potsdam to larger markets and limited air service have hindered the town in attracting new industry. Air Express, a major overnight delivery service, is considering establishing a regional distribution center in Potsdam. But Air Express will not establish the center unless the length of the runway at the local airport is increased. Another candidate for new development is Diagnostic Research, Inc. (DRI), a leading producer of medical testing equipment. DRI is considering building a new manufacturing plant. Increasing the length of the runway is not a requirement for DRI, but the planning commission feels that doing so will help convince DRI to locate its new plant in Potsdam. Assuming that the town lengthens the runway, the Potsdam planning commission believes that the probabilities shown in the following table are applicable.
DRI Plant | No DRI Plant | |
Air Express Center | .30 | .10 |
No Air Express Center | .40 | .20 |
For instance, the
The estimated annual revenue to the town, after deducting the cost of lengthening the runway, is as follows:
DRI Plant | No DRI Plant | |
Air Express Center | $600,000 | $150,000 |
No Air Express Center | $250,000 | −$200,000 |
If the runway expansion project is not conducted, the planning commission assesses the probability that DRI will locate its new plant in Potsdam at .6; in this case, the estimated annual revenue to the town will be $450,000. If the runway expansion project is not conducted and DRI does not locate in Potsdam, the annual revenue will be $0 since no cost will have been incurred and no revenues will be forthcoming.
- a. What is the decision to be made, what is the chance
event , and what is the consequence? - b. Compute the expected annual revenue associated with the decision alternative to lengthen the runway.
- c. Compute the expected annual revenue associated with the decision alternative to not lengthen the runway.
- d. Should the town elect to lengthen the runway? Explain.
- e. Suppose that the probabilities associated with lengthening the runway were as follows:
DRI Plant | No DRI Plant | |
Air Express Center | .40 | .10 |
No Air Express Center | .30 | .20 |
What effect, if any, would this change in the probabilities have on the recommended decision?
Trending nowThis is a popular solution!
Chapter 21 Solutions
STATISTICS F/BUSINESS+ECONOMICS-TEXT
- An enterprising New Product Development class has an idea to sell on campus custom-flavored, enriched bottles of water from dispensers which would add customers’ desired vitamins and natural flavors to each bottle. To assess profit potential, they need an estimate of demand for bottled water on campus. If demand exceeds the breakeven level of seven bottles per week per customer, the business would generate profit. The entrepreneurial class needs to know whether or not demand exceeds seven bottles per consumer per week, because below this level of demand, revenues wouldn’t cover expenses. Unless sample data indicates sufficient demand, the class will stop development. Since the class of entrepreneurs doesn’t know that the population mean is, they will estimate this mean using their sample data. They take a random sample of thirty students on campus and find that on average a student consumes 9.9 bottles per week. They also find that the sample standard deviation is 4.1 bottles per…arrow_forwardA natural gas line runs east-west. A town wants to connect two new housing developments to the line by running lines from a single point on the existing line to the two developments. One development, D1, is 3km due south of the existing line; the other development, D2, is 4km due south of the existing line and 5km east of the first development. Find the place on the existing line to make the connection to minimize the total length of the new line.arrow_forwardSuppose that a manufacturer can produce a part for $10.00 with a fixed cost of $5,000. Alternately, the manufacturer could contract with a supplier in Asia to purchase the part at a cost of $14.00, which includes transportation. a. If the anticipated production volume is 1,300 units, compute the total cost of manufacturing and the total cost of outsourcing. b. What is the best decision? a. The total cost of manufacturing is $ (Simplify your answer.) The total cost of outsourcing is $ (Simplify your answer.) b. The best decision is the because it has the PI ary essit chas mmu O Time Remaining: 00:44:16 Next Type here to searcharrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman