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  • 7/25/2019 Transportation Assg

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    TRANSPORTATION ASSIGNMENTBusiness Analytics

    Transportation Assignment

    1. Find the initial basic feasible solution to the folloin! t"ans#o"tation

    #"oble$ by%

    &i'least cost $ethod&ii' no"th est co"ne" cell $ethod

    A B ( su##

    lyP ) * + ,- 1 /R , + * *S 1 0 ) 1+de$a

    nd

    ) 1/

    State hich of the $ethod is bette"). Sol2e the folloin! t"ans#o"tation #"oble$s usin! 2o!els $ethod fo"

    initital basic feasible solution and use $odi3ed dist"ibution $ethod to

    chec4 hethe" the solution obtained is o#ti$al o" not%

    1 , 1 )5 ) ) ) * ) +

    . Folloin! table !i2es a solution fo" a t"ans#o"tation

    / 0 15

    1) 10 15

    1+ 15 1)

    6e#a"t$ent of MBA7BITM Bella"y Asst P"of ("is$a Ra8.P Pa!e 1

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    TRANSPORTATION ASSIGNMENTBusiness Analytics

    Is the abo2e solution o#ti$al9 :ustify you" anse"

    +. Sol2e the t"ans#o"tation #"oble$ by usin! ;AM fo" feasible solution.Find the o#ti$al solution also usin! MO6I $ethod

    Pe" unit cost &Rs'

    A B ( 6< 1 * 1 5y 1* 1/ 1, *= 11 1) 1+ ,

    Acti2ity in a"e house 6e$and in the

    $a"4et>%)55 units A% 1/5

    units?%,55 units B%)5

    units

    @%55 units c%155units 6%+55

    units

    ,. A co$#any has th"ee #lants and fou" a"ehouses. The su##ly and

    de$and in units and the co""es#ondin! t"ans#o"tation costs a"e !i2en.

    The table belo has been ta4en f"o$ the solution #"ocedu"e of a

    t"ans#o"tation #"oble$

    , 15 + , 150 / * ) ),+ ) , * )5), 15 1, , ,,

    6e#a"t$ent of MBA7BITM Bella"y Asst P"of ("is$a Ra8.P Pa!e )

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    TRANSPORTATION ASSIGNMENTBusiness Analytics

    Anse" the folloin! uestions !i2in! b"ief "easons%

    a. Is this solution feasible9b. Is this solution de!ene"ate9

    c. Is this solution o#ti$u$9d. 6oes this solution ha2e $o"e than one o#ti$u$ solution9 If so sho

    all of the$e. If the cost fo" the "oute BCIII is "educed f"o$ Rs.* to Rs 0 #e" unit hat

    ill be the o#ti$u$ solution

    0. A co$#any #"oduces a s$all co$#onent fo" an indust"ial #"oduct and

    dist"ibutes it to 32e holesale"s at a 3

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    TRANSPORTATION ASSIGNMENTBusiness Analytics

    )*, ,5 +), )), 1,555 ), +,5 1*, 155

    ),5 ,5 +*, )55 1),), )*, +55 ),5 1*,

    o should the o"de"s be #laced9

    6e#a"t$ent of MBA7BITM Bella"y Asst P"of ("is$a Ra8.P Pa!e +