M O Raptor Consulting has three (3) projects to complete this year. They have four (4) project teams currently available. Each project team can at most do one project. Based on the mix of skills and experience on each of the teams, Raptor has developed the following estimates on time taken by each team (in days) to complete each proiect. Teams Project Team 1 Team 2 Team 3 Team 4 Project A 50 30 55 27 Project B 35 28 25 Project C 33 37 30 Determine the optimal assignment of teams to projects in order minimize the total days taken to complete all the projects. Please answer items A-E below A. Formulate the problem as an assignment problem. Use worksheet tab "Q2 SS Model" to develop your formulation. Use worksheet tab "Q2 SS Model" to develop your formulation B. Solve the problem using Excel Solver. Use worksheet tab "Q2 SS Model" 35 23 C. What is the optimal assignment of teams to projects. D. What is the minimum number of days needed to complete the three projects. E. Suppose that at most only one of Teams 2 and 3 can be assigned to a project. Write below the additional constraint that you need to add. Note: No need to solve the model with this additional constraint.

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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### Project Assignment Overview

This spreadsheet provides an overview of project assignments distributed among four teams (Team 1, Team 2, Team 3, Team 4) for three different projects (Project A, Project B, Project C). The data is presented in a table format as follows:

#### Table: Project Assignment

| Garment  | Team 1 | Team 2 | Team 3 | Team 4 |
|----------|--------|--------|--------|--------|
| Project A| 50     | 30     | 55     | 27     |
| Project B| 35     | 28     | 25     | 35     |
| Project C| 33     | 37     | 30     | 23     |

- **Project A:** Team 1 is assigned 50 garments, Team 2 has 30, Team 3 has 55, and Team 4 has 27.
- **Project B:** Team 1 is assigned 35 garments, Team 2 has 28, Team 3 has 25, and Team 4 has 35.
- **Project C:** Team 1 is assigned 33 garments, Team 2 has 37, Team 3 has 30, and Team 4 has 23.

This structured distribution approach helps streamline project management by clearly defining the workload allocated to each team for every project. This data can be used for performance analysis and resource planning.
Transcribed Image Text:### Project Assignment Overview This spreadsheet provides an overview of project assignments distributed among four teams (Team 1, Team 2, Team 3, Team 4) for three different projects (Project A, Project B, Project C). The data is presented in a table format as follows: #### Table: Project Assignment | Garment | Team 1 | Team 2 | Team 3 | Team 4 | |----------|--------|--------|--------|--------| | Project A| 50 | 30 | 55 | 27 | | Project B| 35 | 28 | 25 | 35 | | Project C| 33 | 37 | 30 | 23 | - **Project A:** Team 1 is assigned 50 garments, Team 2 has 30, Team 3 has 55, and Team 4 has 27. - **Project B:** Team 1 is assigned 35 garments, Team 2 has 28, Team 3 has 25, and Team 4 has 35. - **Project C:** Team 1 is assigned 33 garments, Team 2 has 37, Team 3 has 30, and Team 4 has 23. This structured distribution approach helps streamline project management by clearly defining the workload allocated to each team for every project. This data can be used for performance analysis and resource planning.
## Problem Description

Raptor Consulting has three (3) projects to complete this year. They have four (4) project teams currently available. Each project team can at most do one project. Based on the mix of skills and experience of each team, Raptor has developed the following estimates on time taken by each team (in days) to complete each project:

### Teams Time Estimates (Days)
| Project   | Team 1 | Team 2 | Team 3 | Team 4 |
|-----------|--------|--------|--------|--------|
| Project A | 30     | 25     | 40     | 35     |
| Project B | 35     | 30     | 35     | 30     |
| Project C | 37     | 27     | 30     | 23     |

## Assignment Task

Determine the optimal assignment of teams to projects in order to minimize the total days taken to complete all the projects.

### Instructions

Please answer items A-E below:

**A. Formulate the problem as an assignment problem.**  
- Use worksheet tab "Q2 SS Model" to develop your formulation.

**B. Solve the problem using Excel Solver.**  
- Use worksheet tab "Q2 SS Model".

**C. What is the optimal assignment of teams to projects?**  

**D. What is the minimum number of days needed to complete the three projects?**  

**E. Additional Constraint**  
- Suppose that at most only one of Teams 2 and 3 can be assigned to a project. Write below the additional constraint that you need to add.  
Note: No need to solve the model with this additional constraint.

-------------</
Transcribed Image Text:## Problem Description Raptor Consulting has three (3) projects to complete this year. They have four (4) project teams currently available. Each project team can at most do one project. Based on the mix of skills and experience of each team, Raptor has developed the following estimates on time taken by each team (in days) to complete each project: ### Teams Time Estimates (Days) | Project | Team 1 | Team 2 | Team 3 | Team 4 | |-----------|--------|--------|--------|--------| | Project A | 30 | 25 | 40 | 35 | | Project B | 35 | 30 | 35 | 30 | | Project C | 37 | 27 | 30 | 23 | ## Assignment Task Determine the optimal assignment of teams to projects in order to minimize the total days taken to complete all the projects. ### Instructions Please answer items A-E below: **A. Formulate the problem as an assignment problem.** - Use worksheet tab "Q2 SS Model" to develop your formulation. **B. Solve the problem using Excel Solver.** - Use worksheet tab "Q2 SS Model". **C. What is the optimal assignment of teams to projects?** **D. What is the minimum number of days needed to complete the three projects?** **E. Additional Constraint** - Suppose that at most only one of Teams 2 and 3 can be assigned to a project. Write below the additional constraint that you need to add. Note: No need to solve the model with this additional constraint. -------------</
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