As the hiring manager of an electronics manufacturing company, you are tasked with putting together a technician training program. Solve the below problem to finalize a hiring and training schedule to meet the monthly technician requirements for January, February, March and April. 1. The training program takes one month for each trainee. It costs $500 to train one in any given month. 2. It takes one trained technician to train 10 trainees. 3. 70% of the trainees complete the program to qualify and work as trained technicians. 4. A trained technician can work as a technician or a teacher. If there is no work, they remain idle. 5. The management requires 100, 150, 200 and 250 technicians to operate machinery for January, February, March and April, respectively. Extra technicians either teach or idle. 6. A technician is paid $700 to teach or operate, $500 to remain idle. 7. 130 trained technicians are already available at the start of January. 8. Write a linear programming model that minimizes the cost of training and operating the factory. TIPS: I. II. Use the below definition for your decision variables. a. Xi: number of trained technicians teaching during January. b. X2: number of trained technicians idling during January. c. X3: number of trained technicians teaching during February. d. X4: number of trained technicians idling during February. e. X5: number of trained technicians teaching during March. f. X6: number of trained technicians idling during March. The trick is to write constraints to balance the total number of technicians for January, February, March and April. Make sure to meet the technician requirement for April. However, do not include the month of April in your cost calculation, i.e. objective function. Be neat and proper. Writing a mathematical model is all about communicating. No one is going to bother if your model requires deciphering and lacks organization. Double check the time zone quoted at the top and make sure to translate it to where you live! Late assignments are not accepted whether they are 1 minute or 1 week late. Read the course policy outlined in syllabus if you have not already! The day submissions are due is not a good time to ask questions! III. IV. V. VI. VII. As the hiring manager of an electronics manufacturing company, you are tasked with putting together a technician training program. Solve the below problem to finalize a hiring and training schedule to meet the monthly technician requirements for January, February, March and April. 1. The training program takes one month for each trainee. It costs $500 to train one in any given month. 2. It takes one trained technician to train 10 trainees. 3. 70% of the trainees complete the program to qualify and work as trained technicians. 4. A trained technician can work as a technician or a teacher. If there is no work, they remain idle. 5. The management requires 100, 150, 200 and 250 technicians to operate machinery for January, February, March and April, respectively. Extra technicians either teach or idle. 6. A technician is paid $700 to teach or operate, $500 to remain idle. 7. 130 trained technicians are already available at the start of January. 8. Write a linear programming model that minimizes the cost of training and operating the factory. TIPS: I. II. Use the below definition for your decision variables. a. Xi: number of trained technicians teaching during January. b. X2: number of trained technicians idling during January. c. X3: number of trained technicians teaching during February. d. X4: number of trained technicians idling during February. e. X5: number of trained technicians teaching during March. f. X6: number of trained technicians idling during March. The trick is to write constraints to balance the total number of technicians for January, February, March and April. Make sure to meet the technician requirement for April. However, do not include the month of April in your cost calculation, i.e. objective function. Be neat and proper. Writing a mathematical model is all about communicating. No one is going to bother if your model requires deciphering and lacks organization. Double check the time zone quoted at the top and make sure to translate it to where you live! Late assignments are not accepted whether they are 1 minute or 1 week late. Read the course policy outlined in syllabus if you have not already! The day submissions are due is not a good time to ask questions! III. IV. V. VI. VII
