MAXIMISATION PROBLEMS (INVOLVING LOOPING)

Problem 5.46

A company has four factories F1, F2, F3 and F4 manufacturing the same product. Production and raw material costs differ from factory to factory, and are given in the following table in the first two rows. The transportation costs from the factories to sales depots S1, S2, S3 are also given.

The last two columns in the table give the sale price and the total requirement at each depot. The production capacity of each factory is given in the last row.

The production capacity of each factory

Determine the most profitable production and distribution schedule and the corresponding profit. The surplus production should be taken to yield ...

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