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3_Tutorial_Exercises_Solution

3_Tutorial_Exercises_Solution - Integer Programming Chapter...

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Integer Programming Chapter 5 Q13. Solution Let X 1 , X 2 = numbers of salespeople assign region 1 and region 2 respectively Y 1 = 0 if no sales office in region 1, and 1 if sales office opened in region 1 Max z = 85000 X 1 + 60000 X 2 - 18000 Y 1 s.t. : X 1 + X 2 10 10000X 1 + 7000 X 2 72000 X 1 - 10 Y 1 0 X i 0 X i = integer Y 1 = 0 or 1 Q15 Solution Let F 1 , F 2 , F 3 , F 4 , F 5 , F 6 = number of employees working at Midnight, 4:00am, 8:00am, Noon, 4:00pm and 8:00pm respectively Min z = F 1 + F 2 + F 3 + F 4 + F 5 + F 6 s.t. : F 1 + F 6 90 F 1 + F 2 215 F 2 + F 3 250 F 3 + F 4 65 F 4 + F 5 300 F 5 + F 6 125 F i 0 F i = integer Q18. Solution Let X 1 , X 2 , X 3 = number of denim jeans, CD players and Compact discs respectively Max z = 90 X 1 + 150 X 2 + 30 X 3 s.t. : 2 X 1 + 3 X 2 + X 3 5 X i 0 X i = integer Q19. Solution Let X 1 , X 2 , X 3 = number of salespeople allocate to Alsace, Bourgogne, and Île-de-France respectively Max
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