A mineral processing plant will soon undergo a shutdown for a major annual maintenance. The shutdown will last a total of eight days, and will require a significant number of contract workers in each of the days, as indicated in the following table: Day 1 Day 2 Day 3 25 35 35 Minimum Number of Contractors Required Each contractor will be hired for exactly six out of the eight days. Considering the physical intensity of the work to be undertaken, and to ensure high performance, each of the contractors will work no more than three consecutive days without having at least one day of rest. b) a) Create a table listing every possible work schedule that can be assigned to the contractors Use the table of part a) to formulate an integer linear program that minimizes the total number of contractors that will be hired. Day 4 25 Day 5 40 Day 6 Day 7 35 30 Day 8 25