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in Linear Programming by (90 points)
  1. A national truck rental services has surplus of one truck in each of the cities, 1, 2, 3, 4, 5, and 6 and a deficit of one truck in each of the cities 7,8,9,10,11 and 12.Distance (in kilometers) between the cities with a surplus and cities with deficit are displayed below:

a) How should the trucks be displayed so as to minimize the total distance travelled? [5marks]

              b) How should the trucks be displayed so as to maximize the total distance travelled? [5marks]

                                        1                             2                       3                          4                            5                        6

7

41

72

39

52

25

51

8

22

29

49

65

81

50

9

27

39

60

51

32

32

10

45

50

48

52

37

43

11

82

40

40

60

51

30

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