Question: a ) Write down linear programming for this transportation problem consistent with the objective of Sunray Transport Company b ) Using the Vogel Approximation Method

2. Sunray Transport company ships truckloads of grain from three warehouses to four distribution centres. The

a $)$ Write down linear programming for this transportation problem consistent with the objective of Sunray Transport Company

b $)$ Using the Vogel Approximation Method $($ VAM $),$ determine the optimal allocation of the truckloads of the Sunray Transport Company between different warehouses and distribution centres that will minimize the cost and fulfill the demand of all the distribution centres. $($ Use manual process $)$

c $)$ What is the minimum cost incurred by Sunray Transport Company as per VAM method?

2. Sunray Transport company ships truckloads of grain from three warehouses to four distribution centres. The supply (in truck loads), the demand (in truckloads), and the unit transportation costs per truckload on the different routes are summarized in table below. Warehouses Distribution centre 1 Warehouse 1 Warehouse 2 Warehouse 3 Demand (in truck loads) $10 $12 $4 5 Distribution centre 2 $2 $7 $14 15 Distribution centres Distribution centre 3 $20 $9 $16 15 Distribution centre 4 $11 $20 $18 15 Supply(in truck loads) 15 25 10 Now, Sunray Transport Company wants to ship all the truckloads at a minimum cost and wants to fulfill the demand of all the distribution centres. Based on the information given above, answer the following questions. Also, clearly write down each of the steps.

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