Question
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They...
ABC soft drink manufacturing company produces soda bottles at three plants: Orlando, Tampa, and Miami. They ship them to major distribution centers in Charlotte. Birmingham, and Tallahassee. The accounting, production, and marketing departments have provided the information in the table below, which shows the unit cost of shipping between any plant and distribution center, plant capacities over the next planning period, and distribution center demands. ABC's supply chain manager faces the problem of determining how much to ship between each plant and distribution center to minimize the total transportation cost, not exceed available capacity, and meet customer demand. Assume Xij = amount shipped from plant i to distribution center j, where i = 1 represents Orlando, i = 2 represents Tampa, j = 1 represents Charlotte, and so on. Transportation Model Data Distribution Center Charlotte 4 3 Plant Orlando Tampa Miami Demand 7 Birmingham Tallahassee Capacity 7 14,000 4 25,000 6 6 23,000 19,000 22,000 6 3 18,000 A. GO
Which of the following is the constraint for total amount shipped from Orlando? X11 + x12 + x13 - X21 - X22 - X23 < 23,000 X21 + X22 + X23 < 25,000 Ox11 + x12 + x13 < 14.000 OX21 + x22 + X23 < 14,000 X11 + X12 + X13 < 25,000
Answers
row & Using given data: Xij represents allocation made to ith jth column For Orlando i = 1 Capacity of orlando = 14000, so camount shipped equal - The constraint for amount shipped from be less than or C) to 14000 Orlando becomes :- X,,+ Xız TX13 & 14000 €
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