Question: 9 ) Plants A , B , C , and D produce the same item that is demanded by customers W , X , Y

9) Plants A, B, C, and D produce the same item that is demanded by customers W, X, Y, and Z.
Customer demand and plant capacity are shown in the bottom row and rightmost column in the
table. The cost to ship one unit between each combination of plants and customers is also shown in
the table. The corporation wishes to minimize the total transportation costs of this assignment
problem. Use the table to answer the following question.
W X Y Z Total Supply
A $3 $6 $4 $232,000
B $7 $10 $8 $619,000
C $10 $13 $11 $914,000
D $12 $15 $13 $1115,000
Total Demand 25,00015,00018,00012,000
Which of these can be an appropriate constraint for a transportation model developed for this
business problem?
A) Minimize Z =3 SAW +7 SBW +10 Scw +12 SDW
B) SAW + SAX + SAY + SAZ <=22,000
C) SAW + SBW + SCW + SDW >=25,000
D) Maximize Z =3 SAW +7 SBW +10 Scw +12 SDW

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