Suppose an assignment problem, where there are 3 employees who must perform 3 different tasks. The times (in hours) that employees take to perform each of the tasks is shown below. Each employee must perform only one task, and a task can only be performed by one employee. All employees are paid exactly the same wage per hour of work. Minimize the total time to make all tasks.   Task 1 Task 2 Task 3    Employee 1 154 29 40 Employee 2 18 137 12 Employee 3 94 13 31    How many variables does the problem have?    How many constraints does the problem have? The objective function corresponds to:

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Suppose an assignment problem, where there are 3 employees who must perform 3 different tasks. The times (in hours) that employees take to perform each of the tasks is shown below. Each employee must perform only one task, and a task can only be performed by one employee. All employees are paid exactly the same wage per hour of work. Minimize the total time to make all tasks.

 

Task 1 Task 2 Task 3   

Employee 1 154 29 40

Employee 2 18 137 12

Employee 3 94 13 31   

How many variables does the problem have?   

How many constraints does the problem have?

The objective function corresponds to:

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