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 X;;: Number of students living in sector i traveling to school located in sector j. The number of decision variables for the model = 15. a) The objective function, for the LP model = Minimize Z = 0 XBB 7 XAB +5 XAC +6 XAE + +4 XBC +12 XBE + 4 XcB +0 Xcc +7 Xce +4 Xpc +7 XDE 12 X EB + 7 Xec + OXEE + 5 + + Subject to: XAB+XAC +XAE = 800 number of students in sector A XBB +XBC +XBE = 600 number of students in sector B XcB+Xcc + XCE = 400 number of students in sector C XDB+Xoc+XDE = 1,000 number of students in sector D XEB+XEC + XEE = 700 number of students in sector E XAB + XBB + XcB + XDB XEB S 1,200 school B capacity XC + XBC + Xcc + XDC + XEC

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