Page 2 > 17 o - zoom + ok 1. (17 points) A department chair has four instructors to assign to courses on Operations Research, Engineering Statistics, Simulation and Quality Control courses. All of the instructors have taught the courses in the past and have been evaluated with a score from 0 to 100. The scores are shown in the table below: Operations Engineering Simulation Quality Research Statistics Control Peters Mike Robert Steve The department chair wishes to determine an optimal assignment of instructors to courses that will maximize the overall total score a) (14 points) Formulate the problem as an integer program b) (3 points) Can the problem from part(a) be solved using the simplex method? Or does the chair need to use branch and bound? Explain your