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Three orchards supply crates of oranges to four retailers. The daily demandsfrom retailers 1,2,3 and 4 are 150, 150, 400 and 100 crates respectively.Supply at

Three orchards supply crates of oranges to four retailers. The daily demandsfrom retailers 1,2,3 and 4 are 150, 150, 400 and 100 crates respectively.Supply at the orchards is dictated by available labour, the daily supply availablefrom orchards A,B,C being 150, 200 and 250 crates respectively. The transportationcosts in pounds per crate from the orchards to the retailers are given by thetable below.

retailers
1 2 3 4
orchards A 1 2 3 2
B 2 4 1 2
C 1 3 5 3

It is possible for Orchard A and B to supply more crates by using overtime labour.

1. Formulate the problem as a transportation model

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