Using linear programming, show your work.

Five employees are available to perform four tasks. The cost, in dollars, for each employee to perform each task is given in the following table. The goal is to assign employees to tasks so as to minimize the total cost required to perform the four tasks. Because of union rules, each employee can do only one task. Employee Task 1 Task 2 Task 3 Task 4 A 12 17 12 17 B 12 8 20 16 C 13 10 13 19 D 6 12 15 18 E 17 13 9 13 Solve using the Branch and Bound Algorithm. State the details of your formulation