20. Katnis Evergreen, a junior at Tech, is moving out of the dorms where she has lived for 2 into an apartment in town. She is considering three apartment complexes-the Temaces Vistas, and Foxfield. She is poing to evaluate the apartments uning three cnteria-cost, cond tion (age, upkeep, etc and locatioe (ie prosimity to campus, transportation, shopping, Katnis's pairwise comparisons for cach of the three apartment compleses for each criterice her pairwise comparison matri for the three criteria are as follows Cost Terraces Vistas Foxfield Apartment 2. 13 Termaces Vistas 1/2 %3D 15 Foxfield Condition Apartment Terraces Vistas Foxfield Terraces 1/2 1/3 Vistas Foxfield Location Apartment Terraces Vistas Foxfield Termaces Vistas 13 Fofield 1/2 Criterion Cost Condition Location Cost 3. 5. Condition 1/3 2. Location 1/5 1/2 Determine an overall ranking of the three apartment complexes by using AHP.

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### Kantis Evergreen's Apartment Evaluation Using AHP

**Background**:  
Kantis Evergreen, a junior at Tech, is transitioning from dorm life to an apartment. She is choosing between three apartment complexes: Terraces, Vistas, and Foxfield. To make a decision, Kantis evaluates based on three criteria: cost, condition, and location.

**Pairwise Comparison Matrices**:

#### Cost
- **Terraces**: 
  - Compared to Vistas: 1
  - Compared to Foxfield: 2
- **Vistas**: 
  - Compared to Terraces: 1/2
  - Compared to Foxfield: 1/5
- **Foxfield**: 
  - Compared to Terraces: 1/3
  - Compared to Vistas: 1

#### Condition
- **Terraces**: 
  - Compared to Vistas: 1
  - Compared to Foxfield: 3
- **Vistas**: 
  - Compared to Terraces: 1/3
  - Compared to Foxfield: 1
- **Foxfield**: 
  - Compared to Terraces: 1/2
  - Compared to Vistas: 1

#### Location
- **Terraces**: 
  - Compared to Vistas: 1
  - Compared to Foxfield: 3
- **Vistas**: 
  - Compared to Terraces: 1/3
  - Compared to Foxfield: 1/2
- **Foxfield**: 
  - Compared to Terraces: 1/6
  - Compared to Vistas: 1

#### Criterion Weights
- **Cost**: 
  - Compared to Condition: 1
  - Compared to Location: 3
- **Condition**: 
  - Compared to Cost: 1/3
  - Compared to Location: 1/2
- **Location**: 
  - Compared to Cost: 1/5
  - Compared to Condition: 2

### Explanation:
The tables above reflect the pairwise comparison matrices for each criterion. Each entry indicates how one apartment complex compares against another. 

For example, in the cost table, Terraces are considered equivalent to Vistas (1) but twice as preferable to Foxfield (2). In condition, Terraces are three times more preferable to Fox
Transcribed Image Text:### Kantis Evergreen's Apartment Evaluation Using AHP **Background**: Kantis Evergreen, a junior at Tech, is transitioning from dorm life to an apartment. She is choosing between three apartment complexes: Terraces, Vistas, and Foxfield. To make a decision, Kantis evaluates based on three criteria: cost, condition, and location. **Pairwise Comparison Matrices**: #### Cost - **Terraces**: - Compared to Vistas: 1 - Compared to Foxfield: 2 - **Vistas**: - Compared to Terraces: 1/2 - Compared to Foxfield: 1/5 - **Foxfield**: - Compared to Terraces: 1/3 - Compared to Vistas: 1 #### Condition - **Terraces**: - Compared to Vistas: 1 - Compared to Foxfield: 3 - **Vistas**: - Compared to Terraces: 1/3 - Compared to Foxfield: 1 - **Foxfield**: - Compared to Terraces: 1/2 - Compared to Vistas: 1 #### Location - **Terraces**: - Compared to Vistas: 1 - Compared to Foxfield: 3 - **Vistas**: - Compared to Terraces: 1/3 - Compared to Foxfield: 1/2 - **Foxfield**: - Compared to Terraces: 1/6 - Compared to Vistas: 1 #### Criterion Weights - **Cost**: - Compared to Condition: 1 - Compared to Location: 3 - **Condition**: - Compared to Cost: 1/3 - Compared to Location: 1/2 - **Location**: - Compared to Cost: 1/5 - Compared to Condition: 2 ### Explanation: The tables above reflect the pairwise comparison matrices for each criterion. Each entry indicates how one apartment complex compares against another. For example, in the cost table, Terraces are considered equivalent to Vistas (1) but twice as preferable to Foxfield (2). In condition, Terraces are three times more preferable to Fox
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