Question: Based on what you have studied about the Assignment model, solve the following problem: (10 marks) The given table contains the cost matrix of workers

Based on what you have studied about the Assignment model, solve the following problem: (10 marks)

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 Hussein $11 $14 $6 Ahmed $8 $10 $11 Karim $9 $12 $7

Required: a- Formulate as a linear program with clarification of: - Decision variables. (1 mark) - Objective function. (2 mark) - Constraints. (2 marks) b- Use the Hungarian method to find the optimal assignment of workers to projects. (4 Marks) c- Calculate the total cost. (1 Mark)

Answer a&b, and c

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