Fix It Now (FIN) is an appliance repair company. This morning, FIN has received 6 service...

Transcribed Image Text:

Fix It Now (FIN) is an appliance repair company. This morning, FIN has received 6 service requests. There are 7 employees that could be assigned to these jobs. However, the employees have varying skills at fixing the various appliances. Based on the type of job, the FIN foreman has estimated the cost to assign an employee to a job. These are tabulated below. (A dash - indicates that the employee cannot do the job.) Employee Annie Blake Carl Devon Eric Fiona Greg Wash. Mach. Dish Wash. A/C $40 $40 $250 $50 $55 $35 $40 $20 $65 $25 $35 $45 $25 $50 $40 Toilet Fridge Stove $125 $80 $150 $135 $285 $95 $190 $85 $210 $45 $170 $85 $110 $170 $140 $125 $90 $135 $125 $115 (a) FIN wishes to create a minimum cost assignment. What should be the value of objective function coefficient c, if worker i cannot do job j? What should be the value of objective function coefficient ci, if job j is a nonexistent (i.e., "dummy" or placeholder) job? (b) Formulate this scenario as a minimum cost assignment problem. Remember, in an assignment problem, the number of jobs must equal the number of workers. Make sure to define your variables and provide a brief descriptive label for each functional constraint. (c) Use MATLAB (or other software) to solve the model you created in part (b). Fix It Now (FIN) is an appliance repair company. This morning, FIN has received 6 service requests. There are 7 employees that could be assigned to these jobs. However, the employees have varying skills at fixing the various appliances. Based on the type of job, the FIN foreman has estimated the cost to assign an employee to a job. These are tabulated below. (A dash - indicates that the employee cannot do the job.) Employee Annie Blake Carl Devon Eric Fiona Greg Wash. Mach. Dish Wash. A/C $40 $40 $250 $50 $55 $35 $40 $20 $65 $25 $35 $45 $25 $50 $40 Toilet Fridge Stove $125 $80 $150 $135 $285 $95 $190 $85 $210 $45 $170 $85 $110 $170 $140 $125 $90 $135 $125 $115 (a) FIN wishes to create a minimum cost assignment. What should be the value of objective function coefficient c, if worker i cannot do job j? What should be the value of objective function coefficient ci, if job j is a nonexistent (i.e., "dummy" or placeholder) job? (b) Formulate this scenario as a minimum cost assignment problem. Remember, in an assignment problem, the number of jobs must equal the number of workers. Make sure to define your variables and provide a brief descriptive label for each functional constraint. (c) Use MATLAB (or other software) to solve the model you created in part (b).

Answer rating: 100% (QA)

a If worker i cannot do job jthe objective function coefficient cij should be set to a very large numbersuch as 10000This will ensure that the solver ... View the full answer