Question: You have been asked to develop a linear programming model so as to minimize the total number of student miles traveled by bus. Decision variable

You have been asked to develop a linear

You have been asked to develop a linear programming model so as to minimize the total number of student miles traveled by bus. Decision variable Xijj Number of students living in sector i traveling to school located in sector j. The number of decision variables for the model = a) The objective function, for the LP model = Minimize Z= 7(1)+5(2)+6(3)+0(4).+4(5)+12(6)+4(7)+0(8)+7(9)5(10)EB++4(11)]XEC+XEE+7(12)]+ Subject to: XAB+XAC+XAE=XBB+XBC+XBE=numberofstudentsinsectorBXCB+XCC+XCE=numberofstudentsinsectorCXDB+XDC+XDE=numberofstudentsinsectorDXEB+XEC+XEE=numberofstudentsinsectorE(13)+(14)+(15).+(16).+(11,900(18)+(19)+(20)+(21).+(22)schoolCcapacity900(23)+(24)+(25)+(26)schoolEcapacity ForallXij0 non negativity condition b) Using a computer software for solving LP, the objective value at the optimal solution achieved is: Minimum number of total miles traveled (objective value) = (round your response to a whole number)

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