Please help me with part b Minimize Z =Subject to:5 XAB +8XAC +6 XAE0 XBB +4 XBC+12 XBE4 XCB +0 XCC +7XCE7 XDB +2XDC +5 XDE +12 XEB+7XEC+ OXEEXAB+XAC+XAE = 750XBB+XBC+XBE = 600XCB+XCC +XCE= 150XDB + XDC + XDE = 800XEB+XEC+XEE = 500+++ XDBXEB $1,000XAB XBB + XCBХАС + XBC Xcc+ XDCXEC ≤1,000XAE+XBE + XCE + XDE + XEE $1,000For all X₁, 20number of students in sector Anumber of students in sector Bnumber of students in sector Cnumber of students in sector Dnumber of students in sector E+b) Using a computer software for solving LP, the objective value at theMinimum number of total miles traveled (objective value) -school B capacityschool C capacityschool E capacitynon negativity conditionoptimal solution achieved is:(round your response to a whole number). The Hills County, Michigan, superintendent of education is responsible for assigning students to the three high schools inhis county. He recognizes the need to bus a certain number of students, for several sectors, A-E, of the county are beyond walking distance to a school. The superintendent partitions the county into five geographic sectorhe attempts to establish a plan that will minimize the total number of student miles traveled by bus. He also recognizes that if a student happens to live in a certain sector and is assigned to the high school in that sector, theis no need to bus him because he can walk to school. The three schools are located in sectors B, C, and E.The accompanying table reflects the number of high-school-age students living in each sector and the distance in miles from each sector to each school:Distance to SchoolSector School in Sector School in Sector School in SectorBсEABссDETotal50471284027612750Each high school has a capacity of 1,000 students.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.The number of decision variables for the model = 15.Number ofStudents7506001508005002,800

Decision Variable: Suppose-Xij be the no. of student living in the sector i travelling to school…

Minimize Z = Subject to: 5 XAB +8XAC +6 XAE 0XBB +4XBC +12 XBE + 4 XCB +0 XCC +7XCE 7 XDB +2 XDC +5 XDE + 12 XEB+ 7XEC+ OXEE XAB+XAC+XAE = 750 = 600 XBB + XBC+ +XBE XCB+XCC +XCE= 150 XDB + XDC+XDE = 800 XEB+XEC+XEE = 500 + XBB + XCB XAB XAC + XBC + XAE For all X₁, 20 number of students in sector A number of students in sector B number of students in sector C number of students in sector D number of students in sector E school B capacity school C capacity school E capacity ≤ 1,000 XDB + XEB Xcc + XDC + XEC ≤ 1,000 + XBE + XCE + XDE + XEE $1,000 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).

Minimize Z = Subject to: 5 XAB +8XAC +6 XAE 0XBB +4XBC +12 XBE + 4 XCB +0 XCC +7XCE 7 XDB +2 XDC +5 XDE + 12 XEB+ 7XEC+ OXEE XAB+XAC+XAE = 750 = 600 XBB + XBC+ +XBE XCB+XCC +XCE= 150 XDB + XDC+XDE = 800 XEB+XEC+XEE = 500 + XBB + XCB XAB XAC + XBC + XAE For all X₁, 20 number of students in sector A number of students in sector B number of students in sector C number of students in sector D number of students in sector E school B capacity school C capacity school E capacity ≤ 1,000 XDB + XEB Xcc + XDC + XEC ≤ 1,000 + XBE + XCE + XDE + XEE $1,000 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).

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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