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Garysburg Fire Rescue (GFR) is considering three different locations for a new fire station. Using factor rating, GFR has created the following table: Location 2: SW 23rd Terrace Weight sw 34th Street near Williston Road sW 63rd Avenue Location 1: Location 3: Factor Cost of available 0.3 land parcel Accessibility (road size and traffic) 0.5 5 2 Size of available land parcel 0.2 3 When rating these locations, GFR used a 5-point scale, where 1 means unfavorable and 5 means excellent. a. Which of the following statements are true and which are false? i. The cost of the available land parcel is of the greatest importance in this analysis. ii. Location 2 has better accessibility than location 3. iii. GFR considers the size of the available land parcel to be the least important factor. b. According to the analysis above, where will GFR locate the new fire station? c. Suppose Meera at GFR said that the current weights given to the factors in the table above were wrong. She said that there isn't any difference between the cost of the available land parcel and the size of the available land parcel when com- pared on the issue of importance. Basically, those two factors are equally impor- tant. But, according to Meera, the accessibility factor is three times more impor- tant than either of those other two factors. According to Meera, what weight should have been given to each of the three factors? d. Given the new set of weights expressed in part c of this scenario, now where should GFR locate the new fire station?

Garysburg Fire Rescue (GFR) is considering three different locations for a new fire station. Using factor rating, GFR has created the following table: Location 2: SW 23rd Terrace Weight sw 34th Street near Williston Road sW 63rd Avenue Location 1: Location 3: Factor Cost of available 0.3 land parcel Accessibility (road size and traffic) 0.5 5 2 Size of available land parcel 0.2 3 When rating these locations, GFR used a 5-point scale, where 1 means unfavorable and 5 means excellent. a. Which of the following statements are true and which are false? i. The cost of the available land parcel is of the greatest importance in this analysis. ii. Location 2 has better accessibility than location 3. iii. GFR considers the size of the available land parcel to be the least important factor. b. According to the analysis above, where will GFR locate the new fire station? c. Suppose Meera at GFR said that the current weights given to the factors in the table above were wrong. She said that there isn't any difference between the cost of the available land parcel and the size of the available land parcel when com- pared on the issue of importance. Basically, those two factors are equally impor- tant. But, according to Meera, the accessibility factor is three times more impor- tant than either of those other two factors. According to Meera, what weight should have been given to each of the three factors? d. Given the new set of weights expressed in part c of this scenario, now where should GFR locate the new fire station?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
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Garysburg Fire Rescue (GFR) is considering three different locations for a new fire station. Using factor rating, GFR has created the following table: Location 2: SW 23rd Terrace Weight sw 34th Street near Williston Road sW 63rd Avenue Location 1: Location 3: Factor Cost of available 0.3 land parcel Accessibility (road size and traffic) 0.5 5 2 Size of available land parcel 0.2 3 When rating these locations, GFR used a 5-point scale, where 1 means unfavorable and 5 means excellent. a. Which of the following statements are true and which are false? i. The cost of the available land parcel is of the greatest importance in this analysis. ii. Location 2 has better accessibility than location 3. iii. GFR considers the size of the available land parcel to be the least important factor. b. According to the analysis above, where will GFR locate the new fire station? c. Suppose Meera at GFR said that the current weights given to the factors in the table above were wrong. She said that there isn't any difference between the cost of the available land parcel and the size of the available land parcel when com- pared on the issue of importance. Basically, those two factors are equally impor- tant. But, according to Meera, the accessibility factor is three times more impor- tant than either of those other two factors. According to Meera, what weight should have been given to each of the three factors? d. Given the new set of weights expressed in part c of this scenario, now where should GFR locate the new fire station?
Transcribed Image Text:Garysburg Fire Rescue (GFR) is considering three different locations for a new fire station. Using factor rating, GFR has created the following table: Location 2: SW 23rd Terrace Weight sw 34th Street near Williston Road sW 63rd Avenue Location 1: Location 3: Factor Cost of available 0.3 land parcel Accessibility (road size and traffic) 0.5 5 2 Size of available land parcel 0.2 3 When rating these locations, GFR used a 5-point scale, where 1 means unfavorable and 5 means excellent. a. Which of the following statements are true and which are false? i. The cost of the available land parcel is of the greatest importance in this analysis. ii. Location 2 has better accessibility than location 3. iii. GFR considers the size of the available land parcel to be the least important factor. b. According to the analysis above, where will GFR locate the new fire station? c. Suppose Meera at GFR said that the current weights given to the factors in the table above were wrong. She said that there isn't any difference between the cost of the available land parcel and the size of the available land parcel when com- pared on the issue of importance. Basically, those two factors are equally impor- tant. But, according to Meera, the accessibility factor is three times more impor- tant than either of those other two factors. According to Meera, what weight should have been given to each of the three factors? d. Given the new set of weights expressed in part c of this scenario, now where should GFR locate the new fire station?
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