Question: Question (4): Based on what you have studied about the Assignment model, solve the following problem: The given table contains the cost matrix of workers
Question (4): Based on what you have studied about the Assignment model, solve the following problem:
The given table contains the cost matrix of workers and jobs. Workers: Hussein, Ahmed, Karim are to be assigned to Jobs: Project1, Project2, Project3. Given that each worker needs to perform only one project and each project needs to be assigned to only one worker.
| project Worker | Project 1 | Project 2 | Project 3 |
| Hussain | $11 | $14 | $6 |
| Ahmed | $8 | $10 | $11 |
| Karim | $9 | $12 | $7 |
Required:
- Formulate as a linear program with clarification of:
- Decision variables.
- Objective function.
- Constraints.
- Use the Hungarian method to find the optimal assignment of workers to projects.
- Calculate the total cost.
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