Please Help Me Solve Questions A,B and C. I appreciate your work. Thank You

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 bussing for all middle school students who must travel more than approximately a mile, so the school board wants plan for reassigning the students that will minimize the total bussing cost. 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 per- centage of each area's middle school population for next year that falls into each of the three grades. The school at- tendance 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 an operations research consul- tant to assist the school board in determining how many students in each area should be assigned to each school. (a) Formulate a linear programming model for this problem. (b) Solve the model. (c) What is your resulting recommendation to the school board? \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \multirow[b]{2}{*}{ Area } & \multirow{2}{*}{No.ofStudents} & \multirow{2}{*}{Percentagein6thGrade} & \multirow{2}{*}{Percentagein7thGrade} & \multirow{2}{*}{Percentagein8thGrade} & \multicolumn{3}{|c|}{ Bussing Cost per Student } \\ \hline & & & & & School 1 & School 2 & School 3 \\ \hline 1 & 450 & 32 & 38 & 30 & $300 & 0 & $700 \\ \hline 2 & 600 & 37 & 28 & 35 & - & $400 & $500 \\ \hline 3 & 550 & 30 & 32 & 38 & $600 & $300 & $200 \\ \hline 4 & 350 & 28 & 40 & 32 & $200 & $500 & - \\ \hline 5 & 500 & 39 & 34 & 27 & 0 & - & $400 \\ \hline 6 & 450 & 34 & 28 & 38 & $500 & $300 & 0 \\ \hline \multicolumn{5}{|c|}{ School capacity: } & 900 & 1,100 & 1,000 \\ \hline \end{tabular}