Question: 11. Consider a transportation problem with 3 sources and 3 destinations. Source 1 produces 6 units of commodity, source 2 produces 9 units of commodity,

11. Consider a transportation problem with 3

11. Consider a transportation problem with 3 sources and 3 destinations. Source 1 produces 6 units of commodity, source 2 produces 9 units of commodity, and source 3 produces 5 units of commodity. Destinations 1 and 2 have a demand of 5 units each and destination 3 has a demand of 10 units. The unit cost of transporting commodity from each source to each destination is given in the table below. Destination 1 Destination 2 Destination 3 Source 1 Source 2 Source 3 $5 $6 $3 $1 $4 $2 $7 $6 $5 Transportation costs in Exercise 11. (a) Formulate this transportation problem as a MCFP. (b) For the MCFP in part (a), find a basic feasible flow in which there is positive commodity flow from source 1 to destinations 1 and 3, from source 2 to destinations 2 and 3, and from source 3 to destination 3 (c) Starting with the basic feasible flow in part (b), solve the MCFP using the network simplex method. (d) What is the optimal transportation plan

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