Collins Corporation has four machines available for processing certain jobs. Suppose that their processing times (in hours) for the next four jobs are as follows: Machine 1 Machine 2 Machine 3 Machine 4 Job1 5 6 8 7 Job2 3 5 6 4 Job3 12 13 15 14 Job4 8 10 7 11 a) Assuming that each machine can process only one job, formulate an integer program to help decide how the jobs should be assigned to the machines. b) Now suppose that each machine can do up to two jobs. Make the appropriate modification to your program. c) Suppose now that Collins learns that if a machine does more than one job a further two hours is required between the two jobs to reset that machine. How does this affect the model you developed in b) above?