Answer A and B. Please do this on excel, also attach a screenshot of the cells and explain how you got the answer and conclusion. Thank you

Case 3-5 Assigning Students to Schools The Springfield School Board has made the decision to close one of its middle schools (sixth, seventh, and eighth grades) at the end of this school year and reassign all of next year's middle school students to the three remaining middle schools. The school district provides busing for all middle school students who must travel more than approximately a mile, so the school board wants a plan for reassigning the students that will minimize the total busing cost. The annual cost per student for busing from each of the six residential areas of the city to each of the schools is shown in the following table (along with other basic data for next year), where 0 indicates that busing is not needed and a dash indicates an infeasible assignment. Page 120 Busing Cost per Student Number of Students Percentage Percentage Percentage in 6th in 7th in 8th Grade Grade Grade Area School 1 School 2 School 3 1 450 32 38 30 $300 $ 0 $700 2 600 37 28 35 400 500 3 550 30 32 38 600 300 200 4 350 28 40 32 200 500 5 500 39 34 27 0 400 6 450 34 28 38 500 300 0 School capacity: 900 1,100 1,000 The school board also has imposed the restriction that each grade must constitute between 30 and 36 percent of each school's population. The above table shows the percentage of each area's middle school population for next year that falls into each of the three grades. The school attendance zone boundaries can be drawn so as to split any given area among more than one school, but assume that the percentages shown in the table will continue to hold for any partial assignment of an area to a school. You have been hired as a management science consultant to assist the school board in determining how many students in each area should be assigned to each school. a. Formulate and solve a linear programming model for this problem. b. What is your resulting recommendation to the school board? After seeing your recommendation, the school board expresses concern about all the splitting of residential areas among multiple schools. They indicate that they "would like to keep each neighborhood together. c. Adjust your recommendation as well as you can to enable each area to be assigned to just one school. (Adding this restriction may force you to fudge on some other constraints.) How much does this increase the total busing cost? (This line of analysis will be pursued more rigorously in Case 7-3 Q.) The school board is considering eliminating some busing to reduce costs. Option 1 is to only eliminate busing for students traveling 1 to 1.5 miles, where the cost per student is given in the table as $200. Option 2 is to also eliminate busing for students traveling 1.5 to 2 miles, where the estimated cost per student is $300. d. Revise the model from part a to fit Option 1, and solve. Compare these results with those from part b, including the reduction in total busing cost