The director of the CO-Tech startup needs to decide what salaries to offer its employees for...

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The director of the CO-Tech startup needs to decide what salaries to offer its employees for the coming year. In order to keep the employees satisfied, she needs to satisfy the following constraints: • Tom wants at least $20 000 or he will quit; • Peter, Nina, and Samir each want to be paid at least $5000 more than Tom; • Gary wants his salary to be at least as high as the combined salary of Tom and Peter; • Linda wants her salary to be $200 more than Gary; • the combined salary of Nina and Samir should be at least twice the combined salary of Tom and Peter; • Bob's salary is at least as high as that of Peter and at least as high as that of Samir; • the combined salary of Bob and Peter should be at least $60 000; • Linda should not make more money than the combined salary of Bob and Tom. (a) Write an LP that will determine salaries for the employees of CO-tech that satisfy each of these constraints while minimizing the total salary expenses. (b) Write an LP that will determine salaries for the employees of CO-tech that satisfy each of these constraints while minimizing the salary of the highest paid employee. (c) What is the relation between the solutions for (a) and (b)? The director of the CO-Tech startup needs to decide what salaries to offer its employees for the coming year. In order to keep the employees satisfied, she needs to satisfy the following constraints: • Tom wants at least $20 000 or he will quit; • Peter, Nina, and Samir each want to be paid at least $5000 more than Tom; • Gary wants his salary to be at least as high as the combined salary of Tom and Peter; • Linda wants her salary to be $200 more than Gary; • the combined salary of Nina and Samir should be at least twice the combined salary of Tom and Peter; • Bob's salary is at least as high as that of Peter and at least as high as that of Samir; • the combined salary of Bob and Peter should be at least $60 000; • Linda should not make more money than the combined salary of Bob and Tom. (a) Write an LP that will determine salaries for the employees of CO-tech that satisfy each of these constraints while minimizing the total salary expenses. (b) Write an LP that will determine salaries for the employees of CO-tech that satisfy each of these constraints while minimizing the salary of the highest paid employee. (c) What is the relation between the solutions for (a) and (b)?

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a The objective in this case is to minimize the total salary expenses subject to the constraints pro... View the full answer