Four factories, A, B, C, and D produce sugar and the capacity of each factory is given below: Factory A produces 6 tons of sugar and B produces 10 tons of sugar, C produces 4 tons of sugar and that of D is 8 tons of sugar. Sugar has demand in three markets X, Y, and Z. The demand of market X is 12 tons, that of market Y is 8 tons and the demand of market Z is 6 tons. The following matrix gives the returns the factory can get, by selling the sugar in each market. Formulate a transportation problem by using Vogel's Approximation. Markets Availability in tons Factories. X Y A 4 3 B 5 6. 1 10 C 4 4 4 D 1 8 Requirement in 12 8 tons

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