STATISTICS F/BUSINESS+ECONOMICS-TEXT
STATISTICS F/BUSINESS+ECONOMICS-TEXT
13th Edition
ISBN: 9781305881884
Author: Anderson
Publisher: CENGAGE L
bartleby

Videos

Textbook Question
Book Icon
Chapter 21.2, Problem 5E

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 probability that Air Express will establish a distribution center and DRI will build a plant is .30.

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.

  1. a. What is the decision to be made, what is the chance event, and what is the consequence?
  2. b. Compute the expected annual revenue associated with the decision alternative to lengthen the runway.
  3. c. Compute the expected annual revenue associated with the decision alternative to not lengthen the runway.
  4. d. Should the town elect to lengthen the runway? Explain.
  5. 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?

Blurred answer
Students have asked these similar questions
The City Council proposed to utilize a government-owned land with an area of 15, 000 square meters. One-third of the area will be used to plant mango trees while the rest of the land is where an emergency field hospital shall be built. As the city engineer, you were tasked to determine the following: 1. The dimensions of the land planted with mango trees with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. 2. The rate at which the total average of COVID cases is increasing at x = 10 tents and dx/dt = 1 tent per day, given than if 25 tents are built, the average number of COVID cases per tent will be 6 cases while the average number of cases will increase by 2 per tent for each additional tent in the same area due to overcrowding. Verify that values are extrema using either the first derivative test or second derivative test. As an engineer, cite other instances aside from the situations given above where…
A metalworking company is being contracted by a paper factory to design and build a rectangular steel tank, with a square base, without a lid, and with a volume of 500 m³. The tank will be constructed by welding steel plates along the edges. The challenge is to determine the dimensions of the base and the height that will make the tank weigh as little as possible. Describe how you will take weight into consideration to solve the problem (cost-benefit analysis);
The City Council proposed to utilize a government-owned land with an area of 9,600 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway. 2. the number of mango trees that leads to a maximum yield given that if 70 trees are planted, the average yield per tree will be 300 kilos while the average yield will decrease by 3 kilos per tree for each additional tree on the same area due to overcrowding.   As an Engineer, cite other instances aside from the situations given above where optimization (one minimization) can be applied.
Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
2.1 Introduction to inequalities; Author: Oli Notes;https://www.youtube.com/watch?v=D6erN5YTlXE;License: Standard YouTube License, CC-BY
GCSE Maths - What are Inequalities? (Inequalities Part 1) #56; Author: Cognito;https://www.youtube.com/watch?v=e_tY6X5PwWw;License: Standard YouTube License, CC-BY
Introduction to Inequalities | Inequality Symbols | Testing Solutions for Inequalities; Author: Scam Squad Math;https://www.youtube.com/watch?v=paZSN7sV1R8;License: Standard YouTube License, CC-BY