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(Answered) Linear Mathematical Model in Excel: Three Workers and Six Jobs


A company has three workers. On a particular day, six jobs are scheduled to be completed. The cost for each worker to do each job is shown below.;Job;Worker 1 2 3 4 5 6;A 3 2 2 6 4 6;B 4 3 7 5 3 3;C 9 9 7 9 7 6;For each of the following questions, formulate a linear mathematical model in a standard format and implement it in Excel to find the optimal answer. Clearly define your decision variables, objective function and constraints in your formulation and provide snapshots of your Excel solutions. You can define the decision variables only once but you need to have a complete formulation for each question.;a. What is the minimum cost assignment when each worker can do two jobs? Provide both the formulation and the Excel solution.;b. What is the minimum cost assignment to do any three jobs when each worker can do only one job? Provide both the formulation and the Excel solution;c. What is the minimum cost assignment when each worker can do any number of jobs? Provide both the formulation and the Excel solution;d. What is the minimum cost assignment if every job must be performed by a worker along with the following conditions;-if Job 2 is done by worker A, then worker A cannot do Job 1.;-if Job 1 is assigned to worker A, then worker B cannot do Job 5.;-Jobs 4, 5, and 6 must be done by workers A or B (or a combination of both);Provide both the formulation and the Excel solution for part (d) for all of the conditions in one model (i.e., do not create different models for the different conditions);Note: The model must remain linear, and therefore the use of IF-THEN or similar functions is NOT permitted in the model;Attachments;Problem 2.docx
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Linear Mathematical Model in Excel: Three Workers and Six Jobs

 


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