Provide a formulation in a textbox. In addition to the required formulation, solve the IP and place the optimal solution and optimal value in a separate textbox. Part b) There is no need to re-run solver. Include your suggested modification in a textbox.

17. There are 6 contractors and 5 different tasks. Each contractor charges differently for each task. Task 1 Task 2 Task 3 Task 4 Task 5 Contractor 1 50 60 55 35 45 Contractor 2 40 50 60 45 35 Contractor 3 45 45 45 50 50 Contractor 4 60 35 35 60 55 Contractor 5 35 55 40 55 40 Contractor 6 55 40 65 65 45 a. Formulate an ILP to assign the five tasks to five contractors (each contractor can do only one task) at the lowest total cost. b. Suppose Contractor 4 cannot do task 1. How would you modify your formu- lation in part a to handle this situation